828948924000 has 768 divisors, whose sum is σ = 3093445555200. Its totient is φ = 215550720000.

The previous prime is 828948923981. The next prime is 828948924007. The reversal of 828948924000 is 429849828.

828948924000 is a `hidden beast` number, since 82 + 89 + 4 + 89 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828948924007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 788723475 + ... + 788724525.

It is an arithmetic number, because the mean of its divisors is an integer number (4027923900).

Almost surely, 2^828948924000 is an apocalyptic number.

828948924000 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 828948924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546722777600).

828948924000 is an abundant number, since it is smaller than the sum of its proper divisors (2264496631200).

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

828948924000 is a wasteful number, since it uses less digits than its factorization.

828948924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 828948924000 in words is "eight hundred twenty-eight billion, nine hundred forty-eight million, nine hundred twenty-four thousand".