1300393728 has 54 divisors (see below), whose sum is σ = 3749362344. Its totient is φ = 433463808.

The previous prime is 1300393667. The next prime is 1300393739. The reversal of 1300393728 is 8273930031.

It is a happy number.

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 = 1300393692 and 1300393701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 279900 + ... + 284507.

It is an arithmetic number, because the mean of its divisors is an integer number (69432636).

Almost surely, 2^1300393728 is an apocalyptic number.

1300393728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1300393728 is an abundant number, since it is smaller than the sum of its proper divisors (2448968616).

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

1300393728 is an equidigital number, since it uses as much as digits as its factorization.

1300393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564429 (or 564412 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1300393728 is about 36060.9723662577. The cubic root of 1300393728 is about 1091.5030544874.

The spelling of 1300393728 in words is "one billion, three hundred million, three hundred ninety-three thousand, seven hundred twenty-eight".