8028073625 has 128 divisors (see below), whose sum is σ = 12906915840. Its totient is φ = 4892160000.

The previous prime is 8028073621. The next prime is 8028073633. The reversal of 8028073625 is 5263708208.

It is not a de Polignac number, because 8028073625 - 2² = 8028073621 is a prime.

It is a super-2 number, since 2×8028073625² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8028073621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8811920 + ... + 8812830.

It is an arithmetic number, because the mean of its divisors is an integer number (100835280).

Almost surely, 2^8028073625 is an apocalyptic number.

8028073625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8028073625 is a deficient number, since it is larger than the sum of its proper divisors (4878842215).

8028073625 is a wasteful number, since it uses less digits than its factorization.

8028073625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 8028073625 is about 89599.5179953553. The cubic root of 8028073625 is about 2002.3367375156.

The spelling of 8028073625 in words is "eight billion, twenty-eight million, seventy-three thousand, six hundred twenty-five".