8028972405 has 48 divisors (see below), whose sum is σ = 14723280000. Its totient is φ = 4036272768.

The previous prime is 8028972401. The next prime is 8028972407. The reversal of 8028972405 is 5042798208.

8028972405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8028972405 - 2² = 8028972401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028972401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146551 + ... + 193739.

It is an arithmetic number, because the mean of its divisors is an integer number (306735000).

Almost surely, 2^8028972405 is an apocalyptic number.

It is an amenable number.

8028972405 is a deficient number, since it is larger than the sum of its proper divisors (6694307595).

8028972405 is a wasteful number, since it uses less digits than its factorization.

8028972405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47418 (or 47415 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8028972405 is about 89604.5333953590. The cubic root of 8028972405 is about 2002.4114583491.

The spelling of 8028972405 in words is "eight billion, twenty-eight million, nine hundred seventy-two thousand, four hundred five".