28149338304025 has 81 divisors (see below), whose sum is σ = 36171489353727. Its totient is φ = 21730868224800.

The previous prime is 28149338304013. The next prime is 28149338304037. The reversal of 28149338304025 is 52040383394182.

It is a happy number.

The square root of 28149338304025 is 5305595.

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

It is an interprime number because it is at equal distance from previous prime (28149338304013) and next prime (28149338304037).

It can be written as a sum of positive squares in only one way, i.e., 10133761789449 + 18015576514576 = 3183357^2 + 4244476^2 .

It is not a de Polignac number, because 28149338304025 - 2¹⁷ = 28149338172953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133409186170 + ... + 133409186380.

Almost surely, 2^{28149338304025} is an apocalyptic number.

28149338304025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28149338304025 is the 5305595-th square number.

28149338304025 is the 2652798-th centered octagonal number.

It is an amenable number.

28149338304025 is a deficient number, since it is larger than the sum of its proper divisors (8022151049702).

28149338304025 is an frugal number, since it uses more digits than its factorization.

28149338304025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 28149338304025 in words is "twenty-eight trillion, one hundred forty-nine billion, three hundred thirty-eight million, three hundred four thousand, twenty-five".