1015428960 has 864 divisors, whose sum is σ = 4611533472. Its totient is φ = 209018880.

The previous prime is 1015428959. The next prime is 1015428991. The reversal of 1015428960 is 698245101.

1015428960 is a `hidden beast` number, since 101 + 542 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766540 + ... + 24766580.

It is an arithmetic number, because the mean of its divisors is an integer number (5337423).

Almost surely, 2^1015428960 is an apocalyptic number.

1015428960 is a gapful number since it is divisible by the number (10) 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 1015428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305766736).

1015428960 is an abundant number, since it is smaller than the sum of its proper divisors (3596104512).

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

1015428960 is a wasteful number, since it uses less digits than its factorization.

1015428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1015428960 is about 31865.7960829476. The cubic root of 1015428960 is about 1005.1167607715.

The spelling of 1015428960 in words is "one billion, fifteen million, four hundred twenty-eight thousand, nine hundred sixty".