128007648 has 48 divisors (see below), whose sum is σ = 373358160. Its totient is φ = 42668928.

The previous prime is 128007619. The next prime is 128007661. The reversal of 128007648 is 846700821.

128007648 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 0 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73215 + ... + 74942.

It is an arithmetic number, because the mean of its divisors is an integer number (7778295).

Almost surely, 2^128007648 is an apocalyptic number.

128007648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128007648 is an abundant number, since it is smaller than the sum of its proper divisors (245350512).

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

128007648 is a wasteful number, since it uses less digits than its factorization.

128007648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148176 (or 148162 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 128007648 is about 11314.0464909775. The cubic root of 128007648 is about 503.9784571291.

The spelling of 128007648 in words is "one hundred twenty-eight million, seven thousand, six hundred forty-eight".