1038971328 has 56 divisors (see below), whose sum is σ = 2760024960. Its totient is φ = 344928000.

The previous prime is 1038971327. The next prime is 1038971399. The reversal of 1038971328 is 8231798301.

It is a super-2 number, since 2×1038971328² = 2158922840812167168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1038971328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038971327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37413 + ... + 58971.

It is an arithmetic number, because the mean of its divisors is an integer number (49286160).

Almost surely, 2^1038971328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380012480).

1038971328 is an abundant number, since it is smaller than the sum of its proper divisors (1721053632).

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

1038971328 is a wasteful number, since it uses less digits than its factorization.

1038971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21825 (or 21815 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1038971328 is about 32233.0781651396. The cubic root of 1038971328 is about 1012.8252523721.

The spelling of 1038971328 in words is "one billion, thirty-eight million, nine hundred seventy-one thousand, three hundred twenty-eight".