32283865152 has 672 divisors, whose sum is σ = 120264228864. Its totient is φ = 8037273600.

The previous prime is 32283865127. The next prime is 32283865171. The reversal of 32283865152 is 25156838223.

32283865152 is a `hidden beast` number, since 32 + 28 + 3 + 86 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 32283865098 and 32283865107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169025377 + ... + 169025567.

Almost surely, 2^32283865152 is an apocalyptic number.

32283865152 is a gapful number since it is divisible by the number (32) 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 32283865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60132114432).

32283865152 is an abundant number, since it is smaller than the sum of its proper divisors (87980363712).

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

32283865152 is a wasteful number, since it uses less digits than its factorization.

32283865152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 32283865152 in words is "thirty-two billion, two hundred eighty-three million, eight hundred sixty-five thousand, one hundred fifty-two".