1312028928 has 432 divisors, whose sum is σ = 4714085376. Its totient is φ = 355829760.

The previous prime is 1312028911. The next prime is 1312028953. The reversal of 1312028928 is 8298202131.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 1312028892 and 1312028901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10015423 + ... + 10015553.

Almost surely, 2^1312028928 is an apocalyptic number.

1312028928 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 1312028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357042688).

1312028928 is an abundant number, since it is smaller than the sum of its proper divisors (3402056448).

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

1312028928 is an equidigital number, since it uses as much as digits as its factorization.

1312028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1312028928 is about 36221.9398707468. The cubic root of 1312028928 is about 1094.7487807999.

The spelling of 1312028928 in words is "one billion, three hundred twelve million, twenty-eight thousand, nine hundred twenty-eight".