28333424097225 has 297 divisors, whose sum is σ = 57235377565503. Its totient is φ = 13907371645440.

The previous prime is 28333424097109. The next prime is 28333424097229. The reversal of 28333424097225 is 52279042433382.

The square root of 28333424097225 is 5322915.

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

28333424097225 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 3 + 4 + 2 + 409 + 7 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 28328250460041 + 5173637184 = 5322429^2 + 71928^2 .

It is not a de Polignac number, because 28333424097225 - 2²⁹ = 28332887226313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28333424097229) by changing a digit.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 84075442257 + ... + 84075442593.

Almost surely, 2^{28333424097225} is an apocalyptic number.

28333424097225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28333424097225 is the 5322915-th square number.

28333424097225 is the 2661458-th centered octagonal number.

It is an amenable number.

28333424097225 is an abundant number, since it is smaller than the sum of its proper divisors (28901953468278).

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

28333424097225 is an frugal number, since it uses more digits than its factorization.

28333424097225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 28333424097225 in words is "twenty-eight trillion, three hundred thirty-three billion, four hundred twenty-four million, ninety-seven thousand, two hundred twenty-five".