92225952 has 480 divisors, whose sum is σ = 368831232. Its totient is φ = 21897216.

The previous prime is 92225923. The next prime is 92225957. The reversal of 92225952 is 25952229.

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 (92225957) 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 79 ways as a sum of consecutive naturals, for example, 4009813 + ... + 4009835.

Almost surely, 2^92225952 is an apocalyptic number.

92225952 is a gapful number since it is divisible by the number (92) 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 92225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616).

92225952 is an abundant number, since it is smaller than the sum of its proper divisors (276605280).

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

92225952 is a wasteful number, since it uses less digits than its factorization.

92225952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 92225952 is about 9603.4343856768. The cubic root of 92225952 is about 451.8050167959.

The spelling of 92225952 in words is "ninety-two million, two hundred twenty-five thousand, nine hundred fifty-two".