201956328 has 256 divisors, whose sum is σ = 694310400. Its totient is φ = 53747712.

The previous prime is 201956327. The next prime is 201956369. The reversal of 201956328 is 823659102.

201956328 is a `hidden beast` number, since 2 + 0 + 19 + 5 + 632 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 201956292 and 201956301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201956327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2081976 + ... + 2082072.

It is an arithmetic number, because the mean of its divisors is an integer number (2712150).

Almost surely, 2^201956328 is an apocalyptic number.

201956328 is a gapful number since it is divisible by the number (28) 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 201956328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

201956328 is an abundant number, since it is smaller than the sum of its proper divisors (492354072).

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

201956328 is an equidigital number, since it uses as much as digits as its factorization.

201956328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 201956328 is about 14211.1339449039. The cubic root of 201956328 is about 586.7041433245.

The spelling of 201956328 in words is "two hundred one million, nine hundred fifty-six thousand, three hundred twenty-eight".