128463552 has 168 divisors, whose sum is σ = 425614592. Its totient is φ = 36288000.

The previous prime is 128463551. The next prime is 128463583. The reversal of 128463552 is 255364821.

128463552 is a `hidden beast` number, since 12 + 8 + 4 + 635 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (128463551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608727 + ... + 608937.

Almost surely, 2^128463552 is an apocalyptic number.

128463552 is a gapful number since it is divisible by the number (12) 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 128463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212807296).

128463552 is an abundant number, since it is smaller than the sum of its proper divisors (297151040).

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

128463552 is a wasteful number, since it uses less digits than its factorization.

128463552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 128463552 is about 11334.1762823771. The cubic root of 128463552 is about 504.5760609009.

The spelling of 128463552 in words is "one hundred twenty-eight million, four hundred sixty-three thousand, five hundred fifty-two".