8468928 has 168 divisors, whose sum is σ = 27889200. Its totient is φ = 2515968.

The previous prime is 8468917. The next prime is 8468947. The reversal of 8468928 is 8298648.

8468928 = 39³ + 40³ + ... + 77³.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 292018 + ... + 292046.

Almost surely, 2^8468928 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 8468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944600).

8468928 is an abundant number, since it is smaller than the sum of its proper divisors (19420272).

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

8468928 is a wasteful number, since it uses less digits than its factorization.

8468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8468928 is about 2910.1422645637. The cubic root of 8468928 is about 203.8337746259.

The spelling of 8468928 in words is "eight million, four hundred sixty-eight thousand, nine hundred twenty-eight".