63072828000 has 864 divisors, whose sum is σ = 277202907072. Its totient is φ = 13298688000.

The previous prime is 63072827989. The next prime is 63072828083. The reversal of 63072828000 is 82827036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42587260 + ... + 42588740.

It is an arithmetic number, because the mean of its divisors is an integer number (320836698).

Almost surely, 2^63072828000 is an apocalyptic number.

63072828000 is a gapful number since it is divisible by the number (60) 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 63072828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138601453536).

63072828000 is an abundant number, since it is smaller than the sum of its proper divisors (214130079072).

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

63072828000 is a wasteful number, since it uses less digits than its factorization.

63072828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 630 and 72828000, that multiplied together give a square (45881640000 = 214200²).

The spelling of 63072828000 in words is "sixty-three billion, seventy-two million, eight hundred twenty-eight thousand".