828984624480 has 1536 divisors, whose sum is σ = 3329357230080. Its totient is φ = 193921744896.

The previous prime is 828984624439. The next prime is 828984624491. The reversal of 828984624480 is 84426489828.

828984624480 is a `hidden beast` number, since 8 + 2 + 8 + 98 + 4 + 62 + 4 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9987766519 + ... + 9987766601.

It is an arithmetic number, because the mean of its divisors is an integer number (2167550280).

Almost surely, 2^828984624480 is an apocalyptic number.

828984624480 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 828984624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664678615040).

828984624480 is an abundant number, since it is smaller than the sum of its proper divisors (2500372605600).

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

828984624480 is a wasteful number, since it uses less digits than its factorization.

828984624480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 828984624480 in words is "eight hundred twenty-eight billion, nine hundred eighty-four million, six hundred twenty-four thousand, four hundred eighty".