32006233728 has 768 divisors, whose sum is σ = 116819539200. Its totient is φ = 8527970304.

The previous prime is 32006233711. The next prime is 32006233741. The reversal of 32006233728 is 82733260023.

It is a happy number.

32006233728 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 623 + 3 + 7 + 28 = 666.

It is a super-4 number, since 4×32006233728⁴ (a number of 43 digits) contains 4444 as substring.

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 = 32006233692 and 32006233701.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233622076 + ... + 233622212.

It is an arithmetic number, because the mean of its divisors is an integer number (152108775).

Almost surely, 2^32006233728 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 32006233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58409769600).

32006233728 is an abundant number, since it is smaller than the sum of its proper divisors (84813305472).

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

32006233728 is a wasteful number, since it uses less digits than its factorization.

32006233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 32006233728 in words is "thirty-two billion, six million, two hundred thirty-three thousand, seven hundred twenty-eight".