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28908144 = 2433611097
BaseRepresentation
bin110111001000…
…1101001110000
32000101200112000
41232101221300
524400030034
62511334000
7500500206
oct156215160
960350460
1028908144
1115355131
129821300
135cb2015
143ba7076
152810599
hex1b91a70

28908144 has 80 divisors (see below), whose sum is σ = 84414240. Its totient is φ = 9469440.

The previous prime is 28908091. The next prime is 28908193. The reversal of 28908144 is 44180982.

It is a super-4 number, since 4×289081444 (a number of 31 digits) contains 4444 as substring.

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 = 28908099 and 28908108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25804 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (1055178).

Almost surely, 228908144 is an apocalyptic number.

28908144 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 28908144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42207120).

28908144 is an abundant number, since it is smaller than the sum of its proper divisors (55506096).

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

28908144 is a wasteful number, since it uses less digits than its factorization.

28908144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 28908144 is about 5376.6294274387. The cubic root of 28908144 is about 306.9069593244.

The spelling of 28908144 in words is "twenty-eight million, nine hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1097 1098 1464 1647 2194 2196 2928 3291 3294 4388 4392 6582 6588 8776 8784 9873 13164 13176 17552 19746 26328 26352 29619 39492 52656 59238 66917 78984 118476 133834 157968 200751 236952 267668 401502 473904 535336 602253 803004 1070672 1204506 1606008 1806759 2409012 3212016 3613518 4818024 7227036 9636048 14454072 28908144