164924928 has 120 divisors (see below), whose sum is σ = 544088688. Its totient is φ = 47112192.

The previous prime is 164924911. The next prime is 164924941. The reversal of 164924928 is 829429461.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29700 + ... + 34812.

Almost surely, 2^164924928 is an apocalyptic number.

164924928 is a gapful number since it is divisible by the number (18) 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 164924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272044344).

164924928 is an abundant number, since it is smaller than the sum of its proper divisors (379163760).

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

164924928 is an equidigital number, since it uses as much as digits as its factorization.

164924928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5125 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 164924928 is about 12842.3100725687. The cubic root of 164924928 is about 548.3974597159.

The spelling of 164924928 in words is "one hundred sixty-four million, nine hundred twenty-four thousand, nine hundred twenty-eight".