201431328 has 48 divisors (see below), whose sum is σ = 604296000. Its totient is φ = 57551616.

The previous prime is 201431327. The next prime is 201431341. The reversal of 201431328 is 823134102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201431298 and 201431307.

It is not an unprimeable number, because it can be changed into a prime (201431327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149203 + ... + 150546.

It is an arithmetic number, because the mean of its divisors is an integer number (12589500).

Almost surely, 2^201431328 is an apocalyptic number.

201431328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

201431328 is an abundant number, since it is smaller than the sum of its proper divisors (402864672).

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

201431328 is a wasteful number, since it uses less digits than its factorization.

201431328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299769 (or 299761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 201431328 is about 14192.6504924204. The cubic root of 201431328 is about 586.1953089461.

The spelling of 201431328 in words is "two hundred one million, four hundred thirty-one thousand, three hundred twenty-eight".