128505048 has 96 divisors (see below), whose sum is σ = 390044160. Its totient is φ = 35112000.

The previous prime is 128505031. The next prime is 128505067. The reversal of 128505048 is 840505821.

It is a super-2 number, since 2×128505048² = 33027094722964608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24673 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2^128505048 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 128505048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195022080).

128505048 is an abundant number, since it is smaller than the sum of its proper divisors (261539112).

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

128505048 is a wasteful number, since it uses less digits than its factorization.

128505048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 128505048 is about 11336.0067043029. The cubic root of 128505048 is about 504.6303840504.

The spelling of 128505048 in words is "one hundred twenty-eight million, five hundred five thousand, forty-eight".