1031152728 has 64 divisors (see below), whose sum is σ = 2651616000. Its totient is φ = 333970560.

The previous prime is 1031152711. The next prime is 1031152763. The reversal of 1031152728 is 8272511301.

1031152728 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 = 1031152695 and 1031152704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202858 + ... + 207878.

It is an arithmetic number, because the mean of its divisors is an integer number (41431500).

Almost surely, 2^1031152728 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 1031152728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325808000).

1031152728 is an abundant number, since it is smaller than the sum of its proper divisors (1620463272).

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

1031152728 is a wasteful number, since it uses less digits than its factorization.

1031152728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1031152728 is about 32111.5668879611. The cubic root of 1031152728 is about 1010.2782385406.

The spelling of 1031152728 in words is "one billion, thirty-one million, one hundred fifty-two thousand, seven hundred twenty-eight".