28491752025 has 225 divisors, whose sum is σ = 59986986015. Its totient is φ = 13368564000.

The previous prime is 28491751997. The next prime is 28491752039. The reversal of 28491752025 is 52025719482.

The square root of 28491752025 is 168795.

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

It can be written as a sum of positive squares in only one way, i.e., 10257030729 + 18234721296 = 101277^2 + 135036^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 28491752025 - 2⁵ = 28491751993 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 919088760 + ... + 919088790.

Almost surely, 2^28491752025 is an apocalyptic number.

28491752025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28491752025 is the 168795-th square number.

28491752025 is the 84398-th centered octagonal number.

It is an amenable number.

28491752025 is an abundant number, since it is smaller than the sum of its proper divisors (31495233990).

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

28491752025 is an frugal number, since it uses more digits than its factorization.

28491752025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 28491752025 in words is "twenty-eight billion, four hundred ninety-one million, seven hundred fifty-two thousand, twenty-five".