128440032 has 96 divisors (see below), whose sum is σ = 408022272. Its totient is φ = 34535424.

The previous prime is 128440021. The next prime is 128440063. The reversal of 128440032 is 230044821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×128440032² = 32993683640322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 128439984 and 128440011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5803 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (4250232).

Almost surely, 2^128440032 is an apocalyptic number.

128440032 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 128440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204011136).

128440032 is an abundant number, since it is smaller than the sum of its proper divisors (279582240).

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

128440032 is a wasteful number, since it uses less digits than its factorization.

128440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11280 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 128440032 is about 11333.1386649948. The cubic root of 128440032 is about 504.5452652573.

Adding to 128440032 its reverse (230044821), we get a palindrome (358484853).

The spelling of 128440032 in words is "one hundred twenty-eight million, four hundred forty thousand, thirty-two".