47628288 has 180 divisors, whose sum is σ = 153349560. Its totient is φ = 14155776.

The previous prime is 47628283. The next prime is 47628289. The reversal of 47628288 is 88282674.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47628283) 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, 2506743 + ... + 2506761.

It is an arithmetic number, because the mean of its divisors is an integer number (851942).

Almost surely, 2^47628288 is an apocalyptic number.

47628288 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 47628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76674780).

47628288 is an abundant number, since it is smaller than the sum of its proper divisors (105721272).

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

47628288 is a wasteful number, since it uses less digits than its factorization.

47628288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 47628288 is about 6901.3250901548. The cubic root of 47628288 is about 362.4835677054.

The spelling of 47628288 in words is "forty-seven million, six hundred twenty-eight thousand, two hundred eighty-eight".