84788928 has 168 divisors, whose sum is σ = 294327072. Its totient is φ = 22781952.

The previous prime is 84788927. The next prime is 84788929. The reversal of 84788928 is 82988748.

It is an interprime number because it is at equal distance from previous prime (84788927) and next prime (84788929).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×84788928² = 14378324622778368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84788927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67926 + ... + 69162.

Almost surely, 2^84788928 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 84788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147163536).

84788928 is an abundant number, since it is smaller than the sum of its proper divisors (209538144).

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

84788928 is a wasteful number, since it uses less digits than its factorization.

84788928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1266 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 84788928 is about 9208.0903557687. The cubic root of 84788928 is about 439.3187253060.

The spelling of 84788928 in words is "eighty-four million, seven hundred eighty-eight thousand, nine hundred twenty-eight".