1513427328 has 336 divisors, whose sum is σ = 5274402660. Its totient is φ = 431101440.

The previous prime is 1513427309. The next prime is 1513427351. The reversal of 1513427328 is 8237243151.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 1513427292 and 1513427301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4572123 + ... + 4572453.

Almost surely, 2^1513427328 is an apocalyptic number.

1513427328 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 1513427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637201330).

1513427328 is an abundant number, since it is smaller than the sum of its proper divisors (3760975332).

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

1513427328 is an frugal number, since it uses more digits than its factorization.

1513427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 343 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1513427328 is about 38902.7933187323. The cubic root of 1513427328 is about 1148.1197574848.

The spelling of 1513427328 in words is "one billion, five hundred thirteen million, four hundred twenty-seven thousand, three hundred twenty-eight".