128894976 has 288 divisors, whose sum is σ = 453136320. Its totient is φ = 35831808.

The previous prime is 128894971. The next prime is 128894977. The reversal of 128894976 is 679498821.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×128894976² = 33227829676081152, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1741824) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (128894971) 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, 3483630 + ... + 3483666.

It is an arithmetic number, because the mean of its divisors is an integer number (1573390).

Almost surely, 2^128894976 is an apocalyptic number.

128894976 is a gapful number since it is divisible by the number (16) 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 128894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226568160).

128894976 is an abundant number, since it is smaller than the sum of its proper divisors (324241344).

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

128894976 is an frugal number, since it uses more digits than its factorization.

128894976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 128894976 is about 11353.1923263900. The cubic root of 128894976 is about 505.1402753799.

It can be divided in two parts, 12 and 8894976, that added together give a palindrome (8894988).

The spelling of 128894976 in words is "one hundred twenty-eight million, eight hundred ninety-four thousand, nine hundred seventy-six".