431172937728 has 960 divisors, whose sum is σ = 1548322776000. Its totient is φ = 118101639168.

The previous prime is 431172937681. The next prime is 431172937729. The reversal of 431172937728 is 827739271134.

431172937728 is a `hidden beast` number, since 431 + 172 + 9 + 37 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (431172937729) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 696563403 + ... + 696564021.

It is an arithmetic number, because the mean of its divisors is an integer number (1612836225).

Almost surely, 2^431172937728 is an apocalyptic number.

431172937728 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 431172937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774161388000).

431172937728 is an abundant number, since it is smaller than the sum of its proper divisors (1117149838272).

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

431172937728 is a wasteful number, since it uses less digits than its factorization.

431172937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 673 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

It can be divided in two parts, 431172 and 937728, that added together give a square (1368900 = 1170²).

The spelling of 431172937728 in words is "four hundred thirty-one billion, one hundred seventy-two million, nine hundred thirty-seven thousand, seven hundred twenty-eight".