128617632 has 240 divisors, whose sum is σ = 445671072. Its totient is φ = 35873280.

The previous prime is 128617627. The next prime is 128617637. The reversal of 128617632 is 236716821.

128617632 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 17 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (128617627) and next prime (128617637).

It is a super-2 number, since 2×128617632² = 33084990522574848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128617637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370483 + ... + 370829.

Almost surely, 2^128617632 is an apocalyptic number.

128617632 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 128617632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222835536).

128617632 is an abundant number, since it is smaller than the sum of its proper divisors (317053440).

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

128617632 is a wasteful number, since it uses less digits than its factorization.

128617632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 128617632 is about 11340.9713869668. The cubic root of 128617632 is about 504.7777108795. Note that the first 4 decimals are identical.

The spelling of 128617632 in words is "one hundred twenty-eight million, six hundred seventeen thousand, six hundred thirty-two".