1032628131 has 24 divisors (see below), whose sum is σ = 1574277120. Its totient is φ = 650442096.

The previous prime is 1032628111. The next prime is 1032628133. The reversal of 1032628131 is 1318262301.

It is a happy number.

1032628131 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 628 + 1 + 31 = 666.

It is not a de Polignac number, because 1032628131 - 2¹⁵ = 1032595363 is a prime.

It is a super-3 number, since 3×1032628131³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1032628095 and 1032628104.

It is not an unprimeable number, because it can be changed into a prime (1032628133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57610 + ... + 73376.

It is an arithmetic number, because the mean of its divisors is an integer number (65594880).

Almost surely, 2^1032628131 is an apocalyptic number.

1032628131 is a deficient number, since it is larger than the sum of its proper divisors (541648989).

1032628131 is a wasteful number, since it uses less digits than its factorization.

1032628131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16175 (or 16172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1032628131 is about 32134.5317532402. The cubic root of 1032628131 is about 1010.7598539704.

The spelling of 1032628131 in words is "one billion, thirty-two million, six hundred twenty-eight thousand, one hundred thirty-one".