51419628 has 144 divisors (see below), whose sum is σ = 155203776. Its totient is φ = 14192640.

The previous prime is 51419597. The next prime is 51419629. The reversal of 51419628 is 82691415.

51419628 is a `hidden beast` number, since 5 + 14 + 19 + 628 = 666.

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 = 51419592 and 51419601.

It is not an unprimeable number, because it can be changed into a prime (51419629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182848 + ... + 183128.

It is an arithmetic number, because the mean of its divisors is an integer number (1077804).

Almost surely, 2^51419628 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 51419628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77601888).

51419628 is an abundant number, since it is smaller than the sum of its proper divisors (103784148).

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

51419628 is a wasteful number, since it uses less digits than its factorization.

51419628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 51419628 is about 7170.7480781296. The cubic root of 51419628 is about 371.8572987173.

The spelling of 51419628 in words is "fifty-one million, four hundred nineteen thousand, six hundred twenty-eight".