47828961 has 14 divisors (see below), whose sum is σ = 71711730. Its totient is φ = 31885488.

The previous prime is 47828959. The next prime is 47828987. The reversal of 47828961 is 16982874.

It can be written as a sum of positive squares in only one way, i.e., 46662561 + 1166400 = 6831^2 + 1080^2 .

It is not a de Polignac number, because 47828961 - 2¹ = 47828959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47828861) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 32076 + ... + 33533.

Almost surely, 2^47828961 is an apocalyptic number.

It is an amenable number.

47828961 is a deficient number, since it is larger than the sum of its proper divisors (23882769).

47828961 is an frugal number, since it uses more digits than its factorization.

47828961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65627 (or 65612 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 47828961 is about 6915.8485379597. The cubic root of 47828961 is about 362.9919402623.

The spelling of 47828961 in words is "forty-seven million, eight hundred twenty-eight thousand, nine hundred sixty-one".