28342059201 has 27 divisors (see below), whose sum is σ = 43501512873. Its totient is φ = 17777865600.

The previous prime is 28342059199. The next prime is 28342059211. The reversal of 28342059201 is 10295024382.

It is a happy number.

The square root of 28342059201 is 168351.

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

28342059201 is a `hidden beast` number, since 28 + 3 + 42 + 0 + 592 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9090225 + 28332968976 = 3015^2 + 168324^2 .

It is not a de Polignac number, because 28342059201 - 2¹ = 28342059199 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28342059211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8584251 + ... + 8587551.

Almost surely, 2^28342059201 is an apocalyptic number.

28342059201 is the 168351-st square number.

28342059201 is the 84176-th centered octagonal number.

It is an amenable number.

28342059201 is a deficient number, since it is larger than the sum of its proper divisors (15159453672).

28342059201 is an frugal number, since it uses more digits than its factorization.

28342059201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 28342059201 by its sum of digits (36), we get a square (1020314131236 = 1010106²).

The spelling of 28342059201 in words is "twenty-eight billion, three hundred forty-two million, fifty-nine thousand, two hundred one".