128677248 has 224 divisors, whose sum is σ = 441484560. Its totient is φ = 36578304.

The previous prime is 128677247. The next prime is 128677261. The reversal of 128677248 is 842776821.

128677248 = 72³ + 73³ + ... + 152³.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

128677248 is a modest number, since divided by 677248 gives 128 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128677247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 653086 + ... + 653282.

Almost surely, 2^128677248 is an apocalyptic number.

128677248 is a gapful number since it is divisible by the number (18) 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 128677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220742280).

128677248 is an abundant number, since it is smaller than the sum of its proper divisors (312807312).

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

128677248 is an frugal number, since it uses more digits than its factorization.

128677248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 128677248 is about 11343.5994287528. The cubic root of 128677248 is about 504.8556892491.

The spelling of 128677248 in words is "one hundred twenty-eight million, six hundred seventy-seven thousand, two hundred forty-eight".