4712624928 has 192 divisors, whose sum is σ = 15647385600. Its totient is φ = 1365914880.

The previous prime is 4712624921. The next prime is 4712624971. The reversal of 4712624928 is 8294262174.

4712624928 is a `hidden beast` number, since 4 + 7 + 12 + 624 + 9 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4712624921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207813 + ... + 229371.

It is an arithmetic number, because the mean of its divisors is an integer number (81496800).

Almost surely, 2^4712624928 is an apocalyptic number.

4712624928 is a gapful number since it is divisible by the number (48) 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 4712624928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823692800).

4712624928 is an abundant number, since it is smaller than the sum of its proper divisors (10934760672).

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

4712624928 is a wasteful number, since it uses less digits than its factorization.

4712624928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21612 (or 21598 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4712624928 is about 68648.5610045833. The cubic root of 4712624928 is about 1676.5671739902.

The spelling of 4712624928 in words is "four billion, seven hundred twelve million, six hundred twenty-four thousand, nine hundred twenty-eight".