8631828480 has 480 divisors, whose sum is σ = 31405989888. Its totient is φ = 2005401600.

The previous prime is 8631828451. The next prime is 8631828503. The reversal of 8631828480 is 848281368.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8631828480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83804109 + ... + 83804211.

Almost surely, 2^8631828480 is an apocalyptic number.

8631828480 is a gapful number since it is divisible by the number (80) 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 8631828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702994944).

8631828480 is an abundant number, since it is smaller than the sum of its proper divisors (22774161408).

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

8631828480 is a wasteful number, since it uses less digits than its factorization.

8631828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 8631828480 is about 92907.6341319700. The cubic root of 8631828480 is about 2051.3240290623.

The spelling of 8631828480 in words is "eight billion, six hundred thirty-one million, eight hundred twenty-eight thousand, four hundred eighty".