878051328 has 288 divisors, whose sum is σ = 3019887360. Its totient is φ = 220200960.

The previous prime is 878051327. The next prime is 878051333. The reversal of 878051328 is 823150878.

It is a happy number.

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 878051328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878051327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30277618 + ... + 30277646.

It is an arithmetic number, because the mean of its divisors is an integer number (10485720).

Almost surely, 2^878051328 is an apocalyptic number.

878051328 is a gapful number since it is divisible by the number (88) 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 878051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509943680).

878051328 is an abundant number, since it is smaller than the sum of its proper divisors (2141836032).

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

878051328 is an equidigital number, since it uses as much as digits as its factorization.

878051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 878051328 is about 29631.9308854486. The cubic root of 878051328 is about 957.5761073150.

The spelling of 878051328 in words is "eight hundred seventy-eight million, fifty-one thousand, three hundred twenty-eight".