1047728800 has 36 divisors (see below), whose sum is σ = 2557769886. Its totient is φ = 419091200.

The previous prime is 1047728797. The next prime is 1047728839. The reversal of 1047728800 is 88277401.

It can be written as a sum of positive squares in 3 ways, for example, as 955799056 + 91929744 = 30916^2 + 9588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1047728800.

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, 654031 + ... + 655630.

Almost surely, 2^1047728800 is an apocalyptic number.

1047728800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1047728800 is an abundant number, since it is smaller than the sum of its proper divisors (1510041086).

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

1047728800 is a wasteful number, since it uses less digits than its factorization.

1047728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309681 (or 1309668 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 1047728800 is about 32368.6391434672. The cubic root of 1047728800 is about 1015.6629898847.

The spelling of 1047728800 in words is "one billion, forty-seven million, seven hundred twenty-eight thousand, eight hundred".