127328896 has 48 divisors (see below), whose sum is σ = 260349390. Its totient is φ = 62007296.

The previous prime is 127328833. The next prime is 127328911. The reversal of 127328896 is 698823721.

It can be written as a sum of positive squares in 3 ways, for example, as 122766400 + 4562496 = 11080^2 + 2136^2 .

Its product of digits (290304) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 929340 + ... + 929476.

Almost surely, 2^127328896 is an apocalyptic number.

127328896 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 127328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130174695).

127328896 is an abundant number, since it is smaller than the sum of its proper divisors (133020494).

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

127328896 is an frugal number, since it uses more digits than its factorization.

127328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 192 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 127328896 is about 11284.0106345218. The cubic root of 127328896 is about 503.0861073597.

The spelling of 127328896 in words is "one hundred twenty-seven million, three hundred twenty-eight thousand, eight hundred ninety-six".