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28788192 = 2532195261
BaseRepresentation
bin110110111010…
…0010111100000
32000011120222100
41231310113200
524332210232
62505010400
7466460406
oct155642740
960146870
1028788192
1115282aa4
129783a00
135c6c544
143b75476
1527d9c7c
hex1b745e0

28788192 has 72 divisors (see below), whose sum is σ = 86191560. Its totient is φ = 9089280.

The previous prime is 28788187. The next prime is 28788223. The reversal of 28788192 is 29188782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2842 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (1197105).

Almost surely, 228788192 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 28788192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43095780).

28788192 is an abundant number, since it is smaller than the sum of its proper divisors (57403368).

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

28788192 is a wasteful number, since it uses less digits than its factorization.

28788192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5285 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 28788192 is about 5365.4628877665. The cubic root of 28788192 is about 306.4818756486.

The spelling of 28788192 in words is "twenty-eight million, seven hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5261 5472 10522 15783 21044 31566 42088 47349 63132 84176 94698 99959 126264 168352 189396 199918 252528 299877 378792 399836 505056 599754 757584 799672 899631 1199508 1515168 1599344 1799262 2399016 3198688 3598524 4798032 7197048 9596064 14394096 28788192