4307005728 has 72 divisors (see below), whose sum is σ = 12892698000. Its totient is φ = 1360105344.

The previous prime is 4307005697. The next prime is 4307005793. The reversal of 4307005728 is 8275007034.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 4307005692 and 4307005701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388078 + ... + 399021.

It is an arithmetic number, because the mean of its divisors is an integer number (179065250).

Almost surely, 2^4307005728 is an apocalyptic number.

4307005728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4307005728 is an abundant number, since it is smaller than the sum of its proper divisors (8585692272).

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

4307005728 is a wasteful number, since it uses less digits than its factorization.

4307005728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787134 (or 787123 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4307005728 is about 65627.7816781887. The cubic root of 4307005728 is about 1627.0159724938.

The spelling of 4307005728 in words is "four billion, three hundred seven million, five thousand, seven hundred twenty-eight".