1157328000 has 640 divisors, whose sum is σ = 4620844800. Its totient is φ = 286156800.

The previous prime is 1157327999. The next prime is 1157328017. The reversal of 1157328000 is 8237511.

1157328000 is a `hidden beast` number, since 11 + 573 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24623977 + ... + 24624023.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2^1157328000 is an apocalyptic number.

1157328000 is a gapful number since it is divisible by the number (10) 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 1157328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310422400).

1157328000 is an abundant number, since it is smaller than the sum of its proper divisors (3463516800).

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

1157328000 is an equidigital number, since it uses as much as digits as its factorization.

1157328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1157328000 is about 34019.5238061911. The cubic root of 1157328000 is about 1049.9101964012.

The spelling of 1157328000 in words is "one billion, one hundred fifty-seven million, three hundred twenty-eight thousand".