43252651728 has 320 divisors, whose sum is σ = 148340505600. Its totient is φ = 11892579840.

The previous prime is 43252651723. The next prime is 43252651733. The reversal of 43252651728 is 82715625234.

43252651728 is a `hidden beast` number, since 4 + 3 + 2 + 526 + 51 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (43252651723) and next prime (43252651733).

It is a super-2 number, since 2×43252651728² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43252651723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3638851 + ... + 3650717.

It is an arithmetic number, because the mean of its divisors is an integer number (463564080).

Almost surely, 2^43252651728 is an apocalyptic number.

43252651728 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 43252651728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74170252800).

43252651728 is an abundant number, since it is smaller than the sum of its proper divisors (105087853872).

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

43252651728 is a wasteful number, since it uses less digits than its factorization.

43252651728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11955 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 43252651728 in words is "forty-three billion, two hundred fifty-two million, six hundred fifty-one thousand, seven hundred twenty-eight".