828059372400 has 360 divisors, whose sum is σ = 2875824328320. Its totient is φ = 203579151360.

The previous prime is 828059372383. The next prime is 828059372423. The reversal of 828059372400 is 4273950828.

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

It is a self number, because there is not a number n which added to its sum of digits gives 828059372400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206651197 + ... + 206655203.

It is an arithmetic number, because the mean of its divisors is an integer number (7988400912).

Almost surely, 2^828059372400 is an apocalyptic number.

828059372400 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 828059372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437912164160).

828059372400 is an abundant number, since it is smaller than the sum of its proper divisors (2047764955920).

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

828059372400 is a wasteful number, since it uses less digits than its factorization.

828059372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 828059372400 in words is "eight hundred twenty-eight billion, fifty-nine million, three hundred seventy-two thousand, four hundred".