1531340928 has 96 divisors (see below), whose sum is σ = 4745608140. Its totient is φ = 471177216.

The previous prime is 1531340903. The next prime is 1531340947. The reversal of 1531340928 is 8290431351.

1531340928 is a `hidden beast` number, since 1 + 531 + 34 + 0 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1524746304 + 6594624 = 39048^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1531340892 and 1531340901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36151 + ... + 66102.

Almost surely, 2^1531340928 is an apocalyptic number.

1531340928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1531340928 is an abundant number, since it is smaller than the sum of its proper divisors (3214267212).

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

1531340928 is a wasteful number, since it uses less digits than its factorization.

1531340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102286 (or 102271 counting only the distinct ones).

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

The square root of 1531340928 is about 39132.3514243650. The cubic root of 1531340928 is about 1152.6318871345.

The spelling of 1531340928 in words is "one billion, five hundred thirty-one million, three hundred forty thousand, nine hundred twenty-eight".