128738592 has 96 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 42488064.

The previous prime is 128738581. The next prime is 128738611. The reversal of 128738592 is 295837821.

It is a happy number.

128738592 is a `hidden beast` number, since 1 + 28 + 7 + 38 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93493 + ... + 94859.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2^128738592 is an apocalyptic number.

128738592 is a gapful number since it is divisible by the number (12) 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 128738592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

128738592 is an abundant number, since it is smaller than the sum of its proper divisors (250471008).

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

128738592 is a wasteful number, since it uses less digits than its factorization.

128738592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 128738592 is about 11346.3030102320. The cubic root of 128738592 is about 504.9359027232.

It can be divided in two parts, 128 and 738592, that added together give a triangular number (738720 = T₁₂₁₅).

The spelling of 128738592 in words is "one hundred twenty-eight million, seven hundred thirty-eight thousand, five hundred ninety-two".