728625278007 has 24 divisors (see below), whose sum is σ = 1215674263440. Its totient is φ = 415615130880.

The previous prime is 728625277969. The next prime is 728625278009. The reversal of 728625278007 is 700872526827.

728625278007 is a `hidden beast` number, since 7 + 2 + 8 + 625 + 2 + 7 + 8 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 728625278007 - 2¹² = 728625273911 is a prime.

It is a super-5 number, since 5×728625278007⁵ (a number of 61 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728625278009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216464532 + ... + 216467897.

It is an arithmetic number, because the mean of its divisors is an integer number (50653094310).

Almost surely, 2^728625278007 is an apocalyptic number.

728625278007 is a deficient number, since it is larger than the sum of its proper divisors (487048985433).

728625278007 is a wasteful number, since it uses less digits than its factorization.

728625278007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432932463 (or 432932460 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 728625278007 in words is "seven hundred twenty-eight billion, six hundred twenty-five million, two hundred seventy-eight thousand, seven".