1039079628 has 144 divisors (see below), whose sum is σ = 2812773600. Its totient is φ = 322882560.

The previous prime is 1039079623. The next prime is 1039079647. The reversal of 1039079628 is 8269709301.

1039079628 is a `hidden beast` number, since 10 + 3 + 9 + 0 + 7 + 9 + 628 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1039079623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4924443 + ... + 4924653.

It is an arithmetic number, because the mean of its divisors is an integer number (19533150).

Almost surely, 2^1039079628 is an apocalyptic number.

1039079628 is a gapful number since it is divisible by the number (18) 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 1039079628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406386800).

1039079628 is an abundant number, since it is smaller than the sum of its proper divisors (1773693972).

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

1039079628 is a wasteful number, since it uses less digits than its factorization.

1039079628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1039079628 is about 32234.7580726147. The cubic root of 1039079628 is about 1012.8604426803.

The spelling of 1039079628 in words is "one billion, thirty-nine million, seventy-nine thousand, six hundred twenty-eight".