28906547943361 has 27 divisors (see below), whose sum is σ = 31866348767043. Its totient is φ = 26201957564640.

The previous prime is 28906547943359. The next prime is 28906547943421. The reversal of 28906547943361 is 16334974560982.

The square root of 28906547943361 is 5376481.

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., 4764262232961 + 24142285710400 = 2182719^2 + 4913480^2 .

It is not a de Polignac number, because 28906547943361 - 2¹ = 28906547943359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28906547943331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33651394150 + ... + 33651395008.

It is a 1-persistent number, because it is pandigital, but 2⋅28906547943361 = 57813095886722 is not.

Almost surely, 2^{28906547943361} is an apocalyptic number.

28906547943361 is the 5376481-st square number.

28906547943361 is the 2688241-st centered octagonal number.

It is an amenable number.

28906547943361 is a deficient number, since it is larger than the sum of its proper divisors (2959800823682).

28906547943361 is an frugal number, since it uses more digits than its factorization.

28906547943361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 67.

The spelling of 28906547943361 in words is "twenty-eight trillion, nine hundred six billion, five hundred forty-seven million, nine hundred forty-three thousand, three hundred sixty-one".