29628392641 has 9 divisors (see below), whose sum is σ = 30341028609. Its totient is φ = 28932130836.

The previous prime is 29628392639. The next prime is 29628392683. The reversal of 29628392641 is 14629382692.

The square root of 29628392641 is 172129.

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

It is not a de Polignac number, because 29628392641 - 2¹ = 29628392639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29628392621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7399546 + ... + 7403548.

It is an arithmetic number, because the mean of its divisors is an integer number (3371225401).

Almost surely, 2^29628392641 is an apocalyptic number.

29628392641 is the 172129-th square number.

29628392641 is the 86065-th centered octagonal number.

It is an amenable number.

29628392641 is a deficient number, since it is larger than the sum of its proper divisors (712635968).

29628392641 is an frugal number, since it uses more digits than its factorization.

29628392641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 4046 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The spelling of 29628392641 in words is "twenty-nine billion, six hundred twenty-eight million, three hundred ninety-two thousand, six hundred forty-one".