1013879328 has 288 divisors, whose sum is σ = 3443836032. Its totient is φ = 255467520.

The previous prime is 1013879297. The next prime is 1013879351. The reversal of 1013879328 is 8239783101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1013879328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3008376 + ... + 3008712.

It is an arithmetic number, because the mean of its divisors is an integer number (11957764).

Almost surely, 2^1013879328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013879328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721918016).

1013879328 is an abundant number, since it is smaller than the sum of its proper divisors (2429956704).

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

1013879328 is a wasteful number, since it uses less digits than its factorization.

1013879328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1013879328 is about 31841.4718252784. The cubic root of 1013879328 is about 1004.6052022236.

The spelling of 1013879328 in words is "one billion, thirteen million, eight hundred seventy-nine thousand, three hundred twenty-eight".