51847128 has 160 divisors (see below), whose sum is σ = 156816000. Its totient is φ = 15966720.

The previous prime is 51847123. The next prime is 51847151. The reversal of 51847128 is 82174815.

It is a super-3 number, since 3×51847128³ (a number of 24 digits) contains 333 as substring.

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

51847128 is a modest number, since divided by 7128 gives 5184 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 51847092 and 51847101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51847123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 582508 + ... + 582596.

It is an arithmetic number, because the mean of its divisors is an integer number (980100).

Almost surely, 2^51847128 is an apocalyptic number.

51847128 is a gapful number since it is divisible by the number (58) 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 51847128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78408000).

51847128 is an abundant number, since it is smaller than the sum of its proper divisors (104968872).

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

51847128 is a wasteful number, since it uses less digits than its factorization.

51847128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 51847128 is about 7200.4949829855. The cubic root of 51847128 is about 372.8849897100.

The spelling of 51847128 in words is "fifty-one million, eight hundred forty-seven thousand, one hundred twenty-eight".