416528928 has 36 divisors (see below), whose sum is σ = 1184504958. Its totient is φ = 138842880.

The previous prime is 416528911. The next prime is 416528939. The reversal of 416528928 is 829825614.

It can be written as a sum of positive squares in only one way, i.e., 333135504 + 83393424 = 18252^2 + 9132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722853 + ... + 723428.

Almost surely, 2^416528928 is an apocalyptic number.

416528928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416528928 is an abundant number, since it is smaller than the sum of its proper divisors (767976030).

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

416528928 is a wasteful number, since it uses less digits than its factorization.

416528928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446297 (or 1446286 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 416528928 is about 20409.0403498058. The cubic root of 416528928 is about 746.8184803270.

The spelling of 416528928 in words is "four hundred sixteen million, five hundred twenty-eight thousand, nine hundred twenty-eight".