828748800 has 528 divisors, whose sum is σ = 3350529600. Its totient is φ = 199065600.

The previous prime is 828748799. The next prime is 828748819. The reversal of 828748800 is 8847828.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7603146 + ... + 7603254.

It is an arithmetic number, because the mean of its divisors is an integer number (6345700).

Almost surely, 2^828748800 is an apocalyptic number.

828748800 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 828748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675264800).

828748800 is an abundant number, since it is smaller than the sum of its proper divisors (2521780800).

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

828748800 is a wasteful number, since it uses less digits than its factorization.

828748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 828748800 is about 28787.9974989578. The cubic root of 828748800 is about 939.3071701733.

The spelling of 828748800 in words is "eight hundred twenty-eight million, seven hundred forty-eight thousand, eight hundred".