432028080 has 600 divisors, whose sum is σ = 1795978800. Its totient is φ = 95800320.

The previous prime is 432028049. The next prime is 432028087. The reversal of 432028080 is 80820234.

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

It is not an unprimeable number, because it can be changed into a prime (432028087) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14897506 + ... + 14897534.

It is an arithmetic number, because the mean of its divisors is an integer number (2993298).

Almost surely, 2^432028080 is an apocalyptic number.

432028080 is a gapful number since it is divisible by the number (40) 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 432028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897989400).

432028080 is an abundant number, since it is smaller than the sum of its proper divisors (1363950720).

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

432028080 is a wasteful number, since it uses less digits than its factorization.

432028080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 432028080 is about 20785.2851796650. The cubic root of 432028080 is about 755.9690085557.

It can be divided in two parts, 4320 and 28080, that added together give a square (32400 = 180²).

The spelling of 432028080 in words is "four hundred thirty-two million, twenty-eight thousand, eighty".