47828182400 has 96 divisors (see below), whose sum is σ = 118270309680. Its totient is φ = 19111884800.

The previous prime is 47828182387. The next prime is 47828182417. The reversal of 47828182400 is 428182874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3388157 + ... + 3402243.

Almost surely, 2^47828182400 is an apocalyptic number.

47828182400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47828182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59135154840).

47828182400 is an abundant number, since it is smaller than the sum of its proper divisors (70442127280).

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

47828182400 is a wasteful number, since it uses less digits than its factorization.

47828182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15172 (or 15155 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 44.

The spelling of 47828182400 in words is "forty-seven billion, eight hundred twenty-eight million, one hundred eighty-two thousand, four hundred".