47745828 has 96 divisors (see below), whose sum is σ = 137733120. Its totient is φ = 14204160.

The previous prime is 47745827. The next prime is 47745839. The reversal of 47745828 is 82854774.

It is a super-3 number, since 3×47745828³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47745827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42976 + ... + 44072.

It is an arithmetic number, because the mean of its divisors is an integer number (1434720).

Almost surely, 2^47745828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47745828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68866560).

47745828 is an abundant number, since it is smaller than the sum of its proper divisors (89987292).

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

47745828 is a wasteful number, since it uses less digits than its factorization.

47745828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 47745828 is about 6909.8355986232. The cubic root of 47745828 is about 362.7815091143.

It can be divided in two parts, 4774 and 5828, that multiplied together give a palindrome (27822872).

The spelling of 47745828 in words is "forty-seven million, seven hundred forty-five thousand, eight hundred twenty-eight".