468988928 has 88 divisors (see below), whose sum is σ = 1028003400. Its totient is φ = 212860928.

The previous prime is 468988921. The next prime is 468988931. The reversal of 468988928 is 829889864.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 444703744 = 4928^2 + 21088^2 .

It is a super-2 number, since 2×468988928² = 439901229173178368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468988921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504368 + ... + 505296.

Almost surely, 2^468988928 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 468988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514001700).

468988928 is an abundant number, since it is smaller than the sum of its proper divisors (559014472).

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

468988928 is a wasteful number, since it uses less digits than its factorization.

468988928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 977 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 62.

The square root of 468988928 is about 21656.1521974704. The cubic root of 468988928 is about 776.9400871544.

The spelling of 468988928 in words is "four hundred sixty-eight million, nine hundred eighty-eight thousand, nine hundred twenty-eight".