128761824 has 48 divisors (see below), whose sum is σ = 339997392. Its totient is φ = 42667008.

The previous prime is 128761781. The next prime is 128761847. The reversal of 128761824 is 428167821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12732 + ... + 20484.

It is an arithmetic number, because the mean of its divisors is an integer number (7083279).

Almost surely, 2^128761824 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 128761824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169998696).

128761824 is an abundant number, since it is smaller than the sum of its proper divisors (211235568).

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

128761824 is a wasteful number, since it uses less digits than its factorization.

128761824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7931 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 128761824 is about 11347.3267336408. The cubic root of 128761824 is about 504.9662742566.

The spelling of 128761824 in words is "one hundred twenty-eight million, seven hundred sixty-one thousand, eight hundred twenty-four".