1034761728 has 320 divisors, whose sum is σ = 3706762752. Its totient is φ = 247726080.

The previous prime is 1034761699. The next prime is 1034761751. The reversal of 1034761728 is 8271674301.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537200 + ... + 1537872.

Almost surely, 2^1034761728 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 1034761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853381376).

1034761728 is an abundant number, since it is smaller than the sum of its proper divisors (2672001024).

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

1034761728 is a wasteful number, since it uses less digits than its factorization.

1034761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1034761728 is about 32167.7125080414. The cubic root of 1034761728 is about 1011.4555127956.

The spelling of 1034761728 in words is "one billion, thirty-four million, seven hundred sixty-one thousand, seven hundred twenty-eight".