2028730192225 has 243 divisors, whose sum is σ = 3088076315961. Its totient is φ = 1320871305600.

The previous prime is 2028730192217. The next prime is 2028730192231. The reversal of 2028730192225 is 5222910378202.

The square root of 2028730192225 is 1424335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27885994081 + 2000844198144 = 166991^2 + 1414512^2 .

It is not a de Polignac number, because 2028730192225 - 2³ = 2028730192217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 43164472152 + ... + 43164472198.

Almost surely, 2^{2028730192225} is an apocalyptic number.

2028730192225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2028730192225 is the 1424335-th square number.

2028730192225 is the 712168-th centered octagonal number.

It is an amenable number.

2028730192225 is a deficient number, since it is larger than the sum of its proper divisors (1059346123736).

2028730192225 is a wasteful number, since it uses less digits than its factorization.

2028730192225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 2028730192225 in words is "two trillion, twenty-eight billion, seven hundred thirty million, one hundred ninety-two thousand, two hundred twenty-five".