1628417131 has 32 divisors (see below), whose sum is σ = 1968261120. Its totient is φ = 1330099200.

The previous prime is 1628417113. The next prime is 1628417171. The reversal of 1628417131 is 1317148261.

It is a cyclic number.

It is not a de Polignac number, because 1628417131 - 2⁵ = 1628417099 is a prime.

It is a super-2 number, since 2×1628417131² = 5303484705068542322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1628417171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358090 + ... + 362608.

It is an arithmetic number, because the mean of its divisors is an integer number (61508160).

Almost surely, 2^1628417131 is an apocalyptic number.

1628417131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1628417131 is a deficient number, since it is larger than the sum of its proper divisors (339843989).

1628417131 is a wasteful number, since it uses less digits than its factorization.

1628417131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635.

The product of its digits is 8064, while the sum is 34.

The square root of 1628417131 is about 40353.6507766026. The cubic root of 1628417131 is about 1176.4908508570.

The spelling of 1628417131 in words is "one billion, six hundred twenty-eight million, four hundred seventeen thousand, one hundred thirty-one".