78828288 has 288 divisors, whose sum is σ = 276283392. Its totient is φ = 19353600.

The previous prime is 78828271. The next prime is 78828313. The reversal of 78828288 is 88282887.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78828288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833195 + ... + 1833237.

Almost surely, 2^78828288 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 78828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138141696).

78828288 is an abundant number, since it is smaller than the sum of its proper divisors (197455104).

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

78828288 is a wasteful number, since it uses less digits than its factorization.

78828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its digits is 917504, while the sum is 51.

The square root of 78828288 is about 8878.5296079925. The cubic root of 78828288 is about 428.7729358429.

The spelling of 78828288 in words is "seventy-eight million, eight hundred twenty-eight thousand, two hundred eighty-eight".