32857968 has 80 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 9189120.

The previous prime is 32857967. The next prime is 32857969. The reversal of 32857968 is 86975823.

It is an interprime number because it is at equal distance from previous prime (32857967) and next prime (32857969).

It is a super-2 number, since 2×32857968² = 2159292122178048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32857967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4471 + ... + 9257.

Almost surely, 2^32857968 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 32857968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

32857968 is an abundant number, since it is smaller than the sum of its proper divisors (66885648).

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

32857968 is a wasteful number, since it uses less digits than its factorization.

32857968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4816 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 32857968 is about 5732.1870171864. The cubic root of 32857968 is about 320.2925969612.

The spelling of 32857968 in words is "thirty-two million, eight hundred fifty-seven thousand, nine hundred sixty-eight".