4004072728 has 16 divisors (see below), whose sum is σ = 7543220760. Its totient is φ = 1992547200.

The previous prime is 4004072719. The next prime is 4004072741. The reversal of 4004072728 is 8272704004.

4004072728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4004072728² = 32065196822226723968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4004072693 and 4004072702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1184353 + ... + 1187728.

Almost surely, 2^4004072728 is an apocalyptic number.

It is an amenable number.

4004072728 is a deficient number, since it is larger than the sum of its proper divisors (3539148032).

4004072728 is a wasteful number, since it uses less digits than its factorization.

4004072728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372298 (or 2372294 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 4004072728 is about 63277.7427536729. The cubic root of 4004072728 is about 1587.9396236142.

The spelling of 4004072728 in words is "four billion, four million, seventy-two thousand, seven hundred twenty-eight".