878969728 has 128 divisors (see below), whose sum is σ = 2193408000. Its totient is φ = 341563392.

The previous prime is 878969723. The next prime is 878969737. The reversal of 878969728 is 827969878.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 878969728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878969723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686593 + ... + 687871.

It is an arithmetic number, because the mean of its divisors is an integer number (17136000).

Almost surely, 2^878969728 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 878969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096704000).

878969728 is an abundant number, since it is smaller than the sum of its proper divisors (1314438272).

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

878969728 is a wasteful number, since it uses less digits than its factorization.

878969728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1360 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 64.

The square root of 878969728 is about 29647.4236317424. The cubic root of 878969728 is about 957.9098506966.

The spelling of 878969728 in words is "eight hundred seventy-eight million, nine hundred sixty-nine thousand, seven hundred twenty-eight".