160828000 has 96 divisors (see below), whose sum is σ = 408215808. Its totient is φ = 62208000.

The previous prime is 160827991. The next prime is 160828033. The reversal of 160828000 is 828061.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123352 + ... + 124648.

It is an arithmetic number, because the mean of its divisors is an integer number (4252248).

Almost surely, 2^160828000 is an apocalyptic number.

160828000 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 160828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204107904).

160828000 is an abundant number, since it is smaller than the sum of its proper divisors (247387808).

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

160828000 is a wasteful number, since it uses less digits than its factorization.

160828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 160828000 is about 12681.7979797819. The cubic root of 160828000 is about 543.8183866073.

The spelling of 160828000 in words is "one hundred sixty million, eight hundred twenty-eight thousand".