7972472628 has 30 divisors (see below), whose sum is σ = 20841619106. Its totient is φ = 2657490768.

The previous prime is 7972472603. The next prime is 7972472633. The reversal of 7972472628 is 8262742797.

It is a happy number.

7972472628 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 4 + 7 + 2 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4185054864 + 3787417764 = 64692^2 + 61542^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12302875 + ... + 12303522.

Almost surely, 2^7972472628 is an apocalyptic number.

It is an amenable number.

7972472628 is an abundant number, since it is smaller than the sum of its proper divisors (12869146478).

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

7972472628 is a wasteful number, since it uses less digits than its factorization.

7972472628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24606413 (or 24606402 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 7972472628 is about 89288.7038096085. The cubic root of 7972472628 is about 1997.7034161942.

The spelling of 7972472628 in words is "seven billion, nine hundred seventy-two million, four hundred seventy-two thousand, six hundred twenty-eight".