47328600 has 192 divisors, whose sum is σ = 163918080. Its totient is φ = 11200000.

The previous prime is 47328571. The next prime is 47328607. The reversal of 47328600 is 682374.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47328607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468550 + ... + 468650.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^47328600 is an apocalyptic number.

47328600 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 47328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

47328600 is an abundant number, since it is smaller than the sum of its proper divisors (116589480).

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

47328600 is a wasteful number, since it uses less digits than its factorization.

47328600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47328600 is about 6879.5784754591. The cubic root of 47328600 is about 361.7216911993.

The spelling of 47328600 in words is "forty-seven million, three hundred twenty-eight thousand, six hundred".