828437939078400 has 5184 divisors, whose sum is σ = 3922231681105920. Its totient is φ = 162227316326400.

The previous prime is 828437939078363. The next prime is 828437939078423. The reversal of 828437939078400 is 4870939734828.

828437939078400 is a `hidden beast` number, since 8 + 2 + 8 + 43 + 7 + 93 + 90 + 7 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 633846930547 + ... + 633846931853.

Almost surely, 2^{828437939078400} is an apocalyptic number.

828437939078400 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 828437939078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961115840552960).

828437939078400 is an abundant number, since it is smaller than the sum of its proper divisors (3093793742027520).

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

828437939078400 is a wasteful number, since it uses less digits than its factorization.

828437939078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 828437939078400 in words is "eight hundred twenty-eight trillion, four hundred thirty-seven billion, nine hundred thirty-nine million, seventy-eight thousand, four hundred".