92792480 has 72 divisors (see below), whose sum is σ = 241013556. Its totient is φ = 33735680.

The previous prime is 92792473. The next prime is 92792501. The reversal of 92792480 is 8429729.

It can be written as a sum of positive squares in 2 ways, for example, as 91164304 + 1628176 = 9548^2 + 1276^2 .

It is a super-2 number, since 2×92792480² = 17220888689100800, which contains 22 as substring.

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, 16964 + ... + 21756.

Almost surely, 2^92792480 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 92792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120506778).

92792480 is an abundant number, since it is smaller than the sum of its proper divisors (148221076).

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

92792480 is a wasteful number, since it uses less digits than its factorization.

92792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 92792480 is about 9632.8853413710. The cubic root of 92792480 is about 452.7282488580.

The spelling of 92792480 in words is "ninety-two million, seven hundred ninety-two thousand, four hundred eighty".