47723328 has 84 divisors (see below), whose sum is σ = 141556740. Its totient is φ = 15353856.

The previous prime is 47723323. The next prime is 47723339. The reversal of 47723328 is 82332774.

It can be written as a sum of positive squares in 2 ways, for example, as 28643904 + 19079424 = 5352^2 + 4368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47723292 and 47723301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47723323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15276 + ... + 18132.

Almost surely, 2^47723328 is an apocalyptic number.

47723328 is a gapful number since it is divisible by the number (48) 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 47723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70778370).

47723328 is an abundant number, since it is smaller than the sum of its proper divisors (93833412).

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

47723328 is a wasteful number, since it uses less digits than its factorization.

47723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2891 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 47723328 is about 6908.2072927786. The cubic root of 47723328 is about 362.7245137926.

It can be divided in two parts, 4772 and 3328, that added together give a square (8100 = 90²).

The spelling of 47723328 in words is "forty-seven million, seven hundred twenty-three thousand, three hundred twenty-eight".