47928633682974 has 128 divisors (see below), whose sum is σ = 106843854297600. Its totient is φ = 14212272814080.

The previous prime is 47928633682967. The next prime is 47928633682981.

47928633682974 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (47928633682967) and next prime (47928633682981).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 47928633682974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258733474 + ... + 258918650.

It is an arithmetic number, because the mean of its divisors is an integer number (834717611700).

Almost surely, 2^{47928633682974} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47928633682974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53421927148800).

47928633682974 is an abundant number, since it is smaller than the sum of its proper divisors (58915220614626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47928633682974 is a wasteful number, since it uses less digits than its factorization.

47928633682974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185738.

The product of its digits is 5267275776, while the sum is 78.

The spelling of 47928633682974 in words is "forty-seven trillion, nine hundred twenty-eight billion, six hundred thirty-three million, six hundred eighty-two thousand, nine hundred seventy-four".