828572976000 has 3840 divisors, whose sum is σ = 4225300485120. Its totient is φ = 156017664000.

The previous prime is 828572975963. The next prime is 828572976037. The reversal of 828572976000 is 679275828.

It is a happy number.

828572976000 is a `hidden beast` number, since 8 + 2 + 8 + 5 + 7 + 29 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (828572975963) and next prime (828572976037).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 36024911989 + ... + 36024912011.

It is an arithmetic number, because the mean of its divisors is an integer number (1100338668).

Almost surely, 2^828572976000 is an apocalyptic number.

828572976000 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 828572976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112650242560).

828572976000 is an abundant number, since it is smaller than the sum of its proper divisors (3396727509120).

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

828572976000 is a wasteful number, since it uses less digits than its factorization.

828572976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 828572976000 in words is "eight hundred twenty-eight billion, five hundred seventy-two million, nine hundred seventy-six thousand".