992920032 has 240 divisors, whose sum is σ = 3193122240. Its totient is φ = 300837888.

The previous prime is 992920021. The next prime is 992920081. The reversal of 992920032 is 230029299.

992920032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2661798 + ... + 2662170.

It is an arithmetic number, because the mean of its divisors is an integer number (13304676).

Almost surely, 2^992920032 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 992920032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596561120).

992920032 is an abundant number, since it is smaller than the sum of its proper divisors (2200202208).

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

992920032 is a wasteful number, since it uses less digits than its factorization.

992920032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 992920032 is about 31510.6336337434. The cubic root of 992920032 is about 997.6344191063.

The spelling of 992920032 in words is "nine hundred ninety-two million, nine hundred twenty thousand, thirty-two".