47737728 has 128 divisors (see below), whose sum is σ = 148512000. Its totient is φ = 15054336.

The previous prime is 47737727. The next prime is 47737757. The reversal of 47737728 is 82773774.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47737721) 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 15 ways as a sum of consecutive naturals, for example, 65301 + ... + 66027.

It is an arithmetic number, because the mean of its divisors is an integer number (1160250).

Almost surely, 2^47737728 is an apocalyptic number.

47737728 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 47737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74256000).

47737728 is an abundant number, since it is smaller than the sum of its proper divisors (100774272).

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

47737728 is a wasteful number, since it uses less digits than its factorization.

47737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 47737728 is about 6909.2494527264. The cubic root of 47737728 is about 362.7609928617.

The spelling of 47737728 in words is "forty-seven million, seven hundred thirty-seven thousand, seven hundred twenty-eight".