828103926800 has 60 divisors (see below), whose sum is σ = 2094231265680. Its totient is φ = 313807800960.

The previous prime is 828103926787. The next prime is 828103926821. The reversal of 828103926800 is 8629301828.

It is a super-2 number, since 2×828103926800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54472922 + ... + 54488121.

It is an arithmetic number, because the mean of its divisors is an integer number (34903854428).

Almost surely, 2^828103926800 is an apocalyptic number.

828103926800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828103926800 is an abundant number, since it is smaller than the sum of its proper divisors (1266127338880).

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

828103926800 is a wasteful number, since it uses less digits than its factorization.

828103926800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108961080 (or 108961069 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 828103926800 in words is "eight hundred twenty-eight billion, one hundred three million, nine hundred twenty-six thousand, eight hundred".