47892320 has 96 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 16128000.

The previous prime is 47892301. The next prime is 47892329. The reversal of 47892320 is 2329874.

47892320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47892329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67970 + ... + 68670.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^47892320 is an apocalyptic number.

47892320 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 47892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

47892320 is an abundant number, since it is smaller than the sum of its proper divisors (83724256).

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

47892320 is a wasteful number, since it uses less digits than its factorization.

47892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 47892320 is about 6920.4277324454. The cubic root of 47892320 is about 363.1521546166.

The spelling of 47892320 in words is "forty-seven million, eight hundred ninety-two thousand, three hundred twenty".