29628088762561 has 3 divisors (see below), whose sum is σ = 29628094205731. Its totient is φ = 29628083319392.

The previous prime is 29628088762541. The next prime is 29628088762637. The reversal of 29628088762561 is 16526788082692.

The square root of 29628088762561 is 5443169.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 175325600961 + 29452763161600 = 418719^2 + 5427040^2 .

It is not a de Polignac number, because 29628088762561 - 2¹⁵ = 29628088729793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29628088762541) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2721585 + ... + 8164753.

Almost surely, 2^{29628088762561} is an apocalyptic number.

29628088762561 is the 5443169-th square number.

29628088762561 is the 2721585-th centered octagonal number.

It is an amenable number.

29628088762561 is a deficient number, since it is larger than the sum of its proper divisors (5443170).

29628088762561 is an frugal number, since it uses more digits than its factorization.

29628088762561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886338 (or 5443169 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 70.

The spelling of 29628088762561 in words is "twenty-nine trillion, six hundred twenty-eight billion, eighty-eight million, seven hundred sixty-two thousand, five hundred sixty-one".