1314883728 has 60 divisors (see below), whose sum is σ = 3699191808. Its totient is φ = 435990720.

The previous prime is 1314883697. The next prime is 1314883747. The reversal of 1314883728 is 8273884131.

1314883728 is a `hidden beast` number, since 131 + 488 + 37 + 2 + 8 = 666.

It is a super-3 number, since 3×1314883728³ (a number of 28 digits) contains 333 as substring.

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, 3601 + ... + 51407.

Almost surely, 2^1314883728 is an apocalyptic number.

1314883728 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 1314883728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849595904).

1314883728 is an abundant number, since it is smaller than the sum of its proper divisors (2384308080).

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

1314883728 is a wasteful number, since it uses less digits than its factorization.

1314883728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48012 (or 48003 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1314883728 is about 36261.3255135551. The cubic root of 1314883728 is about 1095.5422147331.

The spelling of 1314883728 in words is "one billion, three hundred fourteen million, eight hundred eighty-three thousand, seven hundred twenty-eight".