1038117728 has 24 divisors (see below), whose sum is σ = 2054077200. Its totient is φ = 516447360.

The previous prime is 1038117709. The next prime is 1038117757. The reversal of 1038117728 is 8277118301.

1038117728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1038117691 and 1038117700.

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, 75143 + ... + 87878.

It is an arithmetic number, because the mean of its divisors is an integer number (85586550).

Almost surely, 2^1038117728 is an apocalyptic number.

It is an amenable number.

1038117728 is a deficient number, since it is larger than the sum of its proper divisors (1015959472).

1038117728 is a wasteful number, since it uses less digits than its factorization.

1038117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163230 (or 163222 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 38.

The square root of 1038117728 is about 32219.8343881529. The cubic root of 1038117728 is about 1012.5478034230.

The spelling of 1038117728 in words is "one billion, thirty-eight million, one hundred seventeen thousand, seven hundred twenty-eight".