160828189632 has 672 divisors, whose sum is σ = 553397806080. Its totient is φ = 45664819200.

The previous prime is 160828189601. The next prime is 160828189649. The reversal of 160828189632 is 236981828061.

160828189632 is a `hidden beast` number, since 1 + 608 + 28 + 1 + 8 + 9 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254877957 + ... + 254878587.

It is an arithmetic number, because the mean of its divisors is an integer number (823508640).

Almost surely, 2^160828189632 is an apocalyptic number.

160828189632 is a gapful number since it is divisible by the number (12) 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 160828189632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276698903040).

160828189632 is an abundant number, since it is smaller than the sum of its proper divisors (392569616448).

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

160828189632 is a wasteful number, since it uses less digits than its factorization.

160828189632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 160828189632 in words is "one hundred sixty billion, eight hundred twenty-eight million, one hundred eighty-nine thousand, six hundred thirty-two".