157828020 has 96 divisors (see below), whose sum is σ = 515424000. Its totient is φ = 36070272.

The previous prime is 157827991. The next prime is 157828043. The reversal of 157828020 is 20828751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16746 + ... + 24414.

It is an arithmetic number, because the mean of its divisors is an integer number (5369000).

Almost surely, 2^157828020 is an apocalyptic number.

157828020 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 157828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257712000).

157828020 is an abundant number, since it is smaller than the sum of its proper divisors (357595980).

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

157828020 is a wasteful number, since it uses less digits than its factorization.

157828020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 157828020 is about 12562.9622303022. The cubic root of 157828020 is about 540.4157977252.

The spelling of 157828020 in words is "one hundred fifty-seven million, eight hundred twenty-eight thousand, twenty".