166577928 has 64 divisors (see below), whose sum is σ = 460753920. Its totient is φ = 49761600.

The previous prime is 166577927. The next prime is 166577941. The reversal of 166577928 is 829775661.

166577928 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166577928³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (166577923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14301 + ... + 23187.

It is an arithmetic number, because the mean of its divisors is an integer number (7199280).

Almost surely, 2^166577928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166577928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230376960).

166577928 is an abundant number, since it is smaller than the sum of its proper divisors (294175992).

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

166577928 is a wasteful number, since it uses less digits than its factorization.

166577928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8974 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 166577928 is about 12906.5071959845. The cubic root of 166577928 is about 550.2235212693.

The spelling of 166577928 in words is "one hundred sixty-six million, five hundred seventy-seven thousand, nine hundred twenty-eight".