28723436330625 has 135 divisors (see below), whose sum is σ = 54732025066719. Its totient is φ = 14509035360000.

The previous prime is 28723436330593. The next prime is 28723436330639. The reversal of 28723436330625 is 52603363432782.

The square root of 28723436330625 is 5359425.

It is a perfect power (a square), and thus also a powerful number.

28723436330625 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 3 + 4 + 3 + 6 + 3 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 23351016979521 + 5372419351104 = 4832289^2 + 2317848^2 .

It is not a de Polignac number, because 28723436330625 - 2⁵ = 28723436330593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7637178745 + ... + 7637182505.

Almost surely, 2^{28723436330625} is an apocalyptic number.

28723436330625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28723436330625 is the 5359425-th square number.

28723436330625 is the 2679713-rd centered octagonal number.

It is an amenable number.

28723436330625 is a deficient number, since it is larger than the sum of its proper divisors (26008588736094).

28723436330625 is an frugal number, since it uses more digits than its factorization.

28723436330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 28723436330625 in words is "twenty-eight trillion, seven hundred twenty-three billion, four hundred thirty-six million, three hundred thirty thousand, six hundred twenty-five".