92252832 has 96 divisors (see below), whose sum is σ = 279562752. Its totient is φ = 26091264.

The previous prime is 92252819. The next prime is 92252843. The reversal of 92252832 is 23825229.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 92252793 and 92252802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71263 + ... + 72545.

It is an arithmetic number, because the mean of its divisors is an integer number (2912112).

Almost surely, 2^92252832 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 92252832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139781376).

92252832 is an abundant number, since it is smaller than the sum of its proper divisors (187309920).

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

92252832 is a wasteful number, since it uses less digits than its factorization.

92252832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1402 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 92252832 is about 9604.8337830490. The cubic root of 92252832 is about 451.8489066082.

The spelling of 92252832 in words is "ninety-two million, two hundred fifty-two thousand, eight hundred thirty-two".