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28418688 = 27342741
BaseRepresentation
bin110110001101…
…0001010000000
31222110211010000
41230122022000
524233344223
62453040000
7463361214
oct154321200
958424100
1028418688
1115050421
129626000
135b702bc
143aba944
152765543
hex1b1a280

28418688 has 80 divisors (see below), whose sum is σ = 84604410. Its totient is φ = 9469440.

The previous prime is 28418669. The next prime is 28418693. The reversal of 28418688 is 88681482.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 2286144 = 5112^2 + 1512^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8998 + ... + 11738.

Almost surely, 228418688 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 28418688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42302205).

28418688 is an abundant number, since it is smaller than the sum of its proper divisors (56185722).

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

28418688 is an equidigital number, since it uses as much as digits as its factorization.

28418688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2746 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 28418688 is about 5330.9181197989. The cubic root of 28418688 is about 305.1649667461.

The spelling of 28418688 in words is "twenty-eight million, four hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 2741 3456 5184 5482 8223 10368 10964 16446 21928 24669 32892 43856 49338 65784 74007 87712 98676 131568 148014 175424 197352 222021 263136 296028 350848 394704 444042 526272 592056 789408 888084 1052544 1184112 1578816 1776168 2368224 3157632 3552336 4736448 7104672 9472896 14209344 28418688