32534051328 has 320 divisors, whose sum is σ = 98884980480. Its totient is φ = 10558439424.

The previous prime is 32534051309. The next prime is 32534051339. The reversal of 32534051328 is 82315043523.

32534051328 is a `hidden beast` number, since 32 + 53 + 40 + 513 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32534051292 and 32534051301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103942500 + ... + 103942812.

It is an arithmetic number, because the mean of its divisors is an integer number (309015564).

Almost surely, 2^32534051328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32534051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49442490240).

32534051328 is an abundant number, since it is smaller than the sum of its proper divisors (66350929152).

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

32534051328 is a wasteful number, since it uses less digits than its factorization.

32534051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 32534051328 in words is "thirty-two billion, five hundred thirty-four million, fifty-one thousand, three hundred twenty-eight".