128801248 has 48 divisors (see below), whose sum is σ = 273112560. Its totient is φ = 59570176.

The previous prime is 128801243. The next prime is 128801251. The reversal of 128801248 is 842108821.

It is a super-2 number, since 2×128801248² = 33179522972715008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128801243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30090 + ... + 34102.

It is an arithmetic number, because the mean of its divisors is an integer number (5689845).

Almost surely, 2^128801248 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 128801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136556280).

128801248 is an abundant number, since it is smaller than the sum of its proper divisors (144311312).

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

128801248 is a wasteful number, since it uses less digits than its factorization.

128801248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 128801248 is about 11349.0637499311. The cubic root of 128801248 is about 505.0178054696.

The spelling of 128801248 in words is "one hundred twenty-eight million, eight hundred one thousand, two hundred forty-eight".