1313192628 has 96 divisors (see below), whose sum is σ = 3775175040. Its totient is φ = 391392000.

The previous prime is 1313192623. The next prime is 1313192681. The reversal of 1313192628 is 8262913131.

1313192628 is a `hidden beast` number, since 1 + 3 + 13 + 19 + 2 + 628 = 666.

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 = 1313192592 and 1313192601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313192623) 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, 63408 + ... + 81528.

It is an arithmetic number, because the mean of its divisors is an integer number (39324740).

Almost surely, 2^1313192628 is an apocalyptic number.

1313192628 is a gapful number since it is divisible by the number (18) 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 1313192628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887587520).

1313192628 is an abundant number, since it is smaller than the sum of its proper divisors (2461982412).

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

1313192628 is a wasteful number, since it uses less digits than its factorization.

1313192628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18206 (or 18198 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1313192628 is about 36237.9997792373. Note that the first 3 decimals coincide. The cubic root of 1313192628 is about 1095.0723465054.

The spelling of 1313192628 in words is "one billion, three hundred thirteen million, one hundred ninety-two thousand, six hundred twenty-eight".