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28824048 = 24321131587
BaseRepresentation
bin110110111110…
…1000111110000
32000020102011100
41231331013300
524334332143
62505444400
7500000061
oct155750760
960212140
1028824048
11152a7a30
1297a0700
135c82966
143b84568
1527e56d3
hex1b7d1f0

28824048 has 120 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 8438400.

The previous prime is 28824043. The next prime is 28824053. The reversal of 28824048 is 84042882.

It is an interprime number because it is at equal distance from previous prime (28824043) and next prime (28824053).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28824043) 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, 48811 + ... + 49397.

Almost surely, 228824048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28824048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

28824048 is an abundant number, since it is smaller than the sum of its proper divisors (62170128).

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

28824048 is a wasteful number, since it uses less digits than its factorization.

28824048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 28824048 is about 5368.8032185954. The cubic root of 28824048 is about 306.6090650057.

It can be divided in two parts, 288 and 24048, that added together give a square (24336 = 1562).

The spelling of 28824048 in words is "twenty-eight million, eight hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 587 682 744 792 1023 1116 1174 1364 1488 1584 1761 2046 2232 2348 2728 3069 3522 4092 4464 4696 5283 5456 6138 6457 7044 8184 9392 10566 12276 12914 14088 16368 18197 19371 21132 24552 25828 28176 36394 38742 42264 49104 51656 54591 58113 72788 77484 84528 103312 109182 116226 145576 154968 163773 200167 218364 232452 291152 309936 327546 400334 436728 464904 600501 655092 800668 873456 929808 1201002 1310184 1601336 1801503 2402004 2620368 3202672 3603006 4804008 7206012 9608016 14412024 28824048