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28706292 = 22331312029
BaseRepresentation
bin110110110000…
…0010111110100
32000000102122000
41231200113310
524322100132
62503135300
7465666546
oct155402764
960012560
1028706292
111522750a
129744530
135c41194
143b53696
1527c087c
hex1b605f4

28706292 has 48 divisors (see below), whose sum is σ = 75028800. Its totient is φ = 9491040.

The previous prime is 28706291. The next prime is 28706303. The reversal of 28706292 is 29260782.

28706292 is a `hidden beast` number, since 28 + 7 + 0 + 629 + 2 = 666.

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 (28706291) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13134 + ... + 15162.

It is an arithmetic number, because the mean of its divisors is an integer number (1563100).

Almost surely, 228706292 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 28706292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37514400).

28706292 is an abundant number, since it is smaller than the sum of its proper divisors (46322508).

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

28706292 is a wasteful number, since it uses less digits than its factorization.

28706292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28706292 is about 5357.8253051028. The cubic root of 28706292 is about 306.1909611584.

The spelling of 28706292 in words is "twenty-eight million, seven hundred six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2029 2358 3537 4058 4716 6087 7074 8116 12174 14148 18261 24348 36522 54783 73044 109566 219132 265799 531598 797397 1063196 1594794 2392191 3189588 4784382 7176573 9568764 14353146 28706292