432528493488 has 1280 divisors, whose sum is σ = 1578565632000. Its totient is φ = 100956119040.

The previous prime is 432528493427. The next prime is 432528493499. The reversal of 432528493488 is 884394825234.

It is a super-2 number, since 2×432528493488² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5925047820 + ... + 5925047892.

It is an arithmetic number, because the mean of its divisors is an integer number (1233254400).

Almost surely, 2^432528493488 is an apocalyptic number.

432528493488 is a gapful number since it is divisible by the number (48) 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 432528493488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789282816000).

432528493488 is an abundant number, since it is smaller than the sum of its proper divisors (1146037138512).

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

432528493488 is a wasteful number, since it uses less digits than its factorization.

432528493488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 60.

The spelling of 432528493488 in words is "four hundred thirty-two billion, five hundred twenty-eight million, four hundred ninety-three thousand, four hundred eighty-eight".