88778923128 has 320 divisors, whose sum is σ = 289971601920. Its totient is φ = 24853651200.

The previous prime is 88778923127. The next prime is 88778923141. The reversal of 88778923128 is 82132987788.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88778923127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58291375 + ... + 58292897.

It is an arithmetic number, because the mean of its divisors is an integer number (906161256).

Almost surely, 2^88778923128 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 88778923128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144985800960).

88778923128 is an abundant number, since it is smaller than the sum of its proper divisors (201192678792).

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

88778923128 is a wasteful number, since it uses less digits than its factorization.

88778923128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1787 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 88778923128 in words is "eighty-eight billion, seven hundred seventy-eight million, nine hundred twenty-three thousand, one hundred twenty-eight".