1012828400 has 30 divisors (see below), whose sum is σ = 2433321192. Its totient is φ = 405131200.

The previous prime is 1012828367. The next prime is 1012828441. The reversal of 1012828400 is 48282101.

1012828400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1012828400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1265636 + ... + 1266435.

Almost surely, 2^1012828400 is an apocalyptic number.

1012828400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012828400 is an abundant number, since it is smaller than the sum of its proper divisors (1420492792).

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

1012828400 is a wasteful number, since it uses less digits than its factorization.

1012828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532089 (or 2532078 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 1012828400 is about 31824.9650431858. The cubic root of 1012828400 is about 1004.2579772303.

The spelling of 1012828400 in words is "one billion, twelve million, eight hundred twenty-eight thousand, four hundred".