2972928 has 108 divisors (see below), whose sum is σ = 9320640. Its totient is φ = 838656.

The previous prime is 2972903. The next prime is 2972939. The reversal of 2972928 is 8292792.

Its product of digits (36288) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37593 + ... + 37671.

2^2972928 is an apocalyptic number.

2972928 is a gapful number since it is divisible by the number (28) 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 2972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660320).

2972928 is an abundant number, since it is smaller than the sum of its proper divisors (6347712).

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

2972928 is an equidigital number, since it uses as much as digits as its factorization.

2972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 2972928 is about 1724.2180836542. The cubic root of 2972928 is about 143.7898168215.

The spelling of 2972928 in words is "two million, nine hundred seventy-two thousand, nine hundred twenty-eight".