1531928960 has 128 divisors (see below), whose sum is σ = 3929407200. Its totient is φ = 569327616.

The previous prime is 1531928947. The next prime is 1531928963. The reversal of 1531928960 is 698291351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531928963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643292 + ... + 645668.

Almost surely, 2^1531928960 is an apocalyptic number.

1531928960 is a gapful number since it is divisible by the number (10) 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 1531928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964703600).

1531928960 is an abundant number, since it is smaller than the sum of its proper divisors (2397478240).

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

1531928960 is a wasteful number, since it uses less digits than its factorization.

1531928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 1531928960 is about 39139.8640774339. The cubic root of 1531928960 is about 1152.7794044039.

The spelling of 1531928960 in words is "one billion, five hundred thirty-one million, nine hundred twenty-eight thousand, nine hundred sixty".