1002728832 has 128 divisors (see below), whose sum is σ = 3109155840. Its totient is φ = 280363008.

The previous prime is 1002728807. The next prime is 1002728851. The reversal of 1002728832 is 2388272001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1002728832² = 2010930221048168448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002728793 and 1002728802.

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, 122368 + ... + 130304.

It is an arithmetic number, because the mean of its divisors is an integer number (24290280).

Almost surely, 2^1002728832 is an apocalyptic number.

1002728832 is a gapful number since it is divisible by the number (12) 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 1002728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554577920).

1002728832 is an abundant number, since it is smaller than the sum of its proper divisors (2106427008).

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

1002728832 is an equidigital number, since it uses as much as digits as its factorization.

1002728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1002728832 is about 31665.8938291658. The cubic root of 1002728832 is about 1000.9087845272.

The spelling of 1002728832 in words is "one billion, two million, seven hundred twenty-eight thousand, eight hundred thirty-two".