1157828400 has 90 divisors (see below), whose sum is σ = 4017998660. Its totient is φ = 308753280.

The previous prime is 1157828387. The next prime is 1157828437. The reversal of 1157828400 is 48287511.

1157828400 is a `hidden beast` number, since 1 + 1 + 578 + 2 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 157210 + ... + 164409.

Almost surely, 2^1157828400 is an apocalyptic number.

1157828400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157828400 is an abundant number, since it is smaller than the sum of its proper divisors (2860170260).

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

1157828400 is a wasteful number, since it uses less digits than its factorization.

1157828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321643 (or 321629 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1157828400 is about 34026.8776116763. The cubic root of 1157828400 is about 1050.0614929972.

The spelling of 1157828400 in words is "one billion, one hundred fifty-seven million, eight hundred twenty-eight thousand, four hundred".