4872928400 has 30 divisors (see below), whose sum is σ = 11707211442. Its totient is φ = 1949171200.

The previous prime is 4872928393. The next prime is 4872928429. The reversal of 4872928400 is 48292784.

It can be written as a sum of positive squares in 3 ways, for example, as 203119504 + 4669808896 = 14252^2 + 68336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6090761 + ... + 6091560.

Almost surely, 2^4872928400 is an apocalyptic number.

4872928400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4872928400 is an abundant number, since it is smaller than the sum of its proper divisors (6834283042).

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

4872928400 is a wasteful number, since it uses less digits than its factorization.

4872928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12182339 (or 12182328 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 4872928400 is about 69806.3636067658. The cubic root of 4872928400 is about 1695.3655085509.

The spelling of 4872928400 in words is "four billion, eight hundred seventy-two million, nine hundred twenty-eight thousand, four hundred".