4307401728 has 264 divisors, whose sum is σ = 14837442048. Its totient is φ = 1176772608.

The previous prime is 4307401717. The next prime is 4307401757. The reversal of 4307401728 is 8271047034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4307401692 and 4307401701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482325 + ... + 1485227.

It is an arithmetic number, because the mean of its divisors is an integer number (56202432).

Almost surely, 2^4307401728 is an apocalyptic number.

4307401728 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 4307401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418721024).

4307401728 is an abundant number, since it is smaller than the sum of its proper divisors (10530040320).

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

4307401728 is a wasteful number, since it uses less digits than its factorization.

4307401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4307401728 is about 65630.7986238169. The cubic root of 4307401728 is about 1627.0658353313.

The spelling of 4307401728 in words is "four billion, three hundred seven million, four hundred one thousand, seven hundred twenty-eight".