424736928 has 288 divisors, whose sum is σ = 1528450560. Its totient is φ = 108679680.

The previous prime is 424736927. The next prime is 424736941. The reversal of 424736928 is 829637424.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (424736927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372743 + ... + 2372921.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^424736928 is an apocalyptic number.

424736928 is a gapful number since it is divisible by the number (48) 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 424736928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

424736928 is an abundant number, since it is smaller than the sum of its proper divisors (1103713632).

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

424736928 is a wasteful number, since it uses less digits than its factorization.

424736928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 424736928 is about 20609.1467072269. The cubic root of 424736928 is about 751.6921366934.

The spelling of 424736928 in words is "four hundred twenty-four million, seven hundred thirty-six thousand, nine hundred twenty-eight".