432215028 has 120 divisors (see below), whose sum is σ = 1300992000. Its totient is φ = 122565312.

The previous prime is 432215027. The next prime is 432215029. The reversal of 432215028 is 820512234.

It is an interprime number because it is at equal distance from previous prime (432215027) and next prime (432215029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 432214992 and 432215010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432215023) 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, 337293 + ... + 338571.

It is an arithmetic number, because the mean of its divisors is an integer number (10841600).

Almost surely, 2^432215028 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 432215028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650496000).

432215028 is an abundant number, since it is smaller than the sum of its proper divisors (868776972).

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

432215028 is a wasteful number, since it uses less digits than its factorization.

432215028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 432215028 is about 20789.7818170369. The cubic root of 432215028 is about 756.0780342731.

The spelling of 432215028 in words is "four hundred thirty-two million, two hundred fifteen thousand, twenty-eight".