201551328 has 120 divisors (see below), whose sum is σ = 646735320. Its totient is φ = 61067520.

The previous prime is 201551309. The next prime is 201551347. The reversal of 201551328 is 823155102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201551309) and next prime (201551347).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24978 + ... + 32046.

It is an arithmetic number, because the mean of its divisors is an integer number (5389461).

Almost surely, 2^201551328 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 201551328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323367660).

201551328 is an abundant number, since it is smaller than the sum of its proper divisors (445183992).

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

201551328 is a wasteful number, since it uses less digits than its factorization.

201551328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 201551328 is about 14196.8774031475. The cubic root of 201551328 is about 586.3116918241.

The spelling of 201551328 in words is "two hundred one million, five hundred fifty-one thousand, three hundred twenty-eight".