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28328544 = 25321931167
BaseRepresentation
bin110110000010…
…0001001100000
31222022020110100
41230010021200
524223003134
62451102400
7462534336
oct154041140
958266410
1028328544
1114a99722
1295a1a00
135b3b26a
143a95b56
152748999
hex1b04260

28328544 has 144 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 8605440.

The previous prime is 28328543. The next prime is 28328551. The reversal of 28328544 is 44582382.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28328499 and 28328508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28328543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169549 + ... + 169715.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 228328544 is an apocalyptic number.

28328544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28328544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

28328544 is an abundant number, since it is smaller than the sum of its proper divisors (59730336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28328544 is a wasteful number, since it uses less digits than its factorization.

28328544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 28328544 is about 5322.4565756801. The cubic root of 28328544 is about 304.8419641728.

The spelling of 28328544 in words is "twenty-eight million, three hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 167 171 186 228 248 279 288 304 334 342 372 456 496 501 558 589 608 668 684 744 912 992 1002 1116 1178 1336 1368 1488 1503 1767 1824 2004 2232 2356 2672 2736 2976 3006 3173 3534 4008 4464 4712 5177 5301 5344 5472 6012 6346 7068 8016 8928 9424 9519 10354 10602 12024 12692 14136 15531 16032 18848 19038 20708 21204 24048 25384 28272 28557 31062 38076 41416 42408 46593 48096 50768 56544 57114 62124 76152 82832 84816 93186 98363 101536 114228 124248 152304 165664 169632 186372 196726 228456 248496 295089 304608 372744 393452 456912 496992 590178 745488 786904 885267 913824 1180356 1490976 1573808 1770534 2360712 3147616 3541068 4721424 7082136 9442848 14164272 28328544