201956928 has 224 divisors, whose sum is σ = 614476800. Its totient is φ = 58189824.

The previous prime is 201956927. The next prime is 201956933. The reversal of 201956928 is 829659102.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 201956928.

It is not an unprimeable number, because it can be changed into a prime (201956921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433175 + ... + 2433257.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2^201956928 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 201956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400).

201956928 is an abundant number, since it is smaller than the sum of its proper divisors (412519872).

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

201956928 is a wasteful number, since it uses less digits than its factorization.

201956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 201956928 is about 14211.1550550967. The cubic root of 201956928 is about 586.7047243447.

The spelling of 201956928 in words is "two hundred one million, nine hundred fifty-six thousand, nine hundred twenty-eight".