47900982528 has 432 divisors, whose sum is σ = 165758261760. Its totient is φ = 13604806656.

The previous prime is 47900982511. The next prime is 47900982541. The reversal of 47900982528 is 82528900974.

47900982528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×47900982528² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 78914001 + ... + 78914607.

It is an arithmetic number, because the mean of its divisors is an integer number (383699680).

Almost surely, 2^47900982528 is an apocalyptic number.

47900982528 is a gapful number since it is divisible by the number (48) 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 47900982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82879130880).

47900982528 is an abundant number, since it is smaller than the sum of its proper divisors (117857279232).

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

47900982528 is a wasteful number, since it uses less digits than its factorization.

47900982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 47900982528 in words is "forty-seven billion, nine hundred million, nine hundred eighty-two thousand, five hundred twenty-eight".