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28802088 = 2333743443
BaseRepresentation
bin110110111011…
…1110000101000
32000012022001000
41231313300220
524333131323
62505155000
7466546050
oct155676050
960168030
1028802088
1115292487
12978ba60
135c75973
143b7a560
1527dde43
hex1b77c28

28802088 has 128 divisors (see below), whose sum is σ = 93772800. Its totient is φ = 8019648.

The previous prime is 28802087. The next prime is 28802093. The reversal of 28802088 is 88020882.

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

It is not an unprimeable number, because it can be changed into a prime (28802087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64795 + ... + 65237.

It is an arithmetic number, because the mean of its divisors is an integer number (732600).

Almost surely, 228802088 is an apocalyptic number.

28802088 is a gapful number since it is divisible by the number (28) 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 28802088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46886400).

28802088 is an abundant number, since it is smaller than the sum of its proper divisors (64970712).

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

28802088 is a wasteful number, since it uses less digits than its factorization.

28802088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 28802088 is about 5366.7576803877. The cubic root of 28802088 is about 306.5311804363.

The spelling of 28802088 in words is "twenty-eight million, eight hundred two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 443 504 516 602 756 774 886 903 1032 1161 1204 1329 1512 1548 1772 1806 2322 2408 2658 2709 3096 3101 3544 3612 3987 4644 5316 5418 6202 7224 7974 8127 9288 9303 10632 10836 11961 12404 15948 16254 18606 19049 21672 23922 24808 27909 31896 32508 37212 38098 47844 55818 57147 65016 74424 76196 83727 95688 111636 114294 133343 152392 167454 171441 223272 228588 266686 334908 342882 400029 457176 514323 533372 669816 685764 800058 1028646 1066744 1200087 1371528 1600116 2057292 2400174 3200232 3600261 4114584 4800348 7200522 9600696 14401044 28802088