128488464 has 160 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 39011328.

The previous prime is 128488453. The next prime is 128488471. The reversal of 128488464 is 464884821.

128488464 is a `hidden beast` number, since 128 + 488 + 46 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769309 + ... + 769475.

It is an arithmetic number, because the mean of its divisors is an integer number (2515464).

Almost surely, 2^128488464 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 128488464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

128488464 is an abundant number, since it is smaller than the sum of its proper divisors (273985776).

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

128488464 is a wasteful number, since it uses less digits than its factorization.

With its successor (128488465) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (322).

128488464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 128488464 is about 11335.2752061871. The cubic root of 128488464 is about 504.6086750450.

It can be divided in two parts, 12848 and 8464, that added together give a palindrome (21312).

The spelling of 128488464 in words is "one hundred twenty-eight million, four hundred eighty-eight thousand, four hundred sixty-four".