128369376 has 72 divisors (see below), whose sum is σ = 371085624. Its totient is φ = 42082560.

The previous prime is 128369369. The next prime is 128369383. The reversal of 128369376 is 673963821.

It is an interprime number because it is at equal distance from previous prime (128369369) and next prime (128369383).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13915 + ... + 21221.

It is an arithmetic number, because the mean of its divisors is an integer number (5153967).

Almost surely, 2^128369376 is an apocalyptic number.

128369376 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 128369376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185542812).

128369376 is an abundant number, since it is smaller than the sum of its proper divisors (242716248).

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

128369376 is a wasteful number, since it uses less digits than its factorization.

128369376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7373 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 128369376 is about 11330.0210061588. The cubic root of 128369376 is about 504.4527300130.

The spelling of 128369376 in words is "one hundred twenty-eight million, three hundred sixty-nine thousand, three hundred seventy-six".