201257628 has 96 divisors (see below), whose sum is σ = 584236800. Its totient is φ = 52976640.

The previous prime is 201257621. The next prime is 201257629. The reversal of 201257628 is 826752102.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201257621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25723 + ... + 32621.

It is an arithmetic number, because the mean of its divisors is an integer number (6085800).

Almost surely, 2^201257628 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 201257628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292118400).

201257628 is an abundant number, since it is smaller than the sum of its proper divisors (382979172).

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

201257628 is a wasteful number, since it uses less digits than its factorization.

201257628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 201257628 is about 14186.5298082371. The cubic root of 201257628 is about 586.0267628247.

The spelling of 201257628 in words is "two hundred one million, two hundred fifty-seven thousand, six hundred twenty-eight".