120892928 has 80 divisors (see below), whose sum is σ = 267076656. Its totient is φ = 54312960.

The previous prime is 120892927. The next prime is 120892931. The reversal of 120892928 is 829298021.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120892927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272675 + ... + 273117.

Almost surely, 2^120892928 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 120892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133538328).

120892928 is an abundant number, since it is smaller than the sum of its proper divisors (146183728).

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

120892928 is an equidigital number, since it uses as much as digits as its factorization.

120892928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 120892928 is about 10995.1320137595. The cubic root of 120892928 is about 494.4628094045.

The spelling of 120892928 in words is "one hundred twenty million, eight hundred ninety-two thousand, nine hundred twenty-eight".