432628342049232 has 960 divisors, whose sum is σ = 1544637472874496. Its totient is φ = 110133361704960.

The previous prime is 432628342049219. The next prime is 432628342049311. The reversal of 432628342049232 is 232940243826234.

432628342049232 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 2 + 83 + 42 + 0 + 492 + 32 = 666.

It is a super-3 number, since 3×432628342049232³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15482516253 + ... + 15482544195.

Almost surely, 2^{432628342049232} is an apocalyptic number.

432628342049232 is a gapful number since it is divisible by the number (42) 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 432628342049232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772318736437248).

432628342049232 is an abundant number, since it is smaller than the sum of its proper divisors (1112009130825264).

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

432628342049232 is a wasteful number, since it uses less digits than its factorization.

432628342049232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28408 (or 28399 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 432628342049232 in words is "four hundred thirty-two trillion, six hundred twenty-eight billion, three hundred forty-two million, forty-nine thousand, two hundred thirty-two".