51417828 has 168 divisors, whose sum is σ = 168934080. Its totient is φ = 13296960.

The previous prime is 51417823. The next prime is 51417833. The reversal of 51417828 is 82871415.

It is an interprime number because it is at equal distance from previous prime (51417823) and next prime (51417833).

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 = 51417792 and 51417801.

It is not an unprimeable number, because it can be changed into a prime (51417823) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 224418 + ... + 224646.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560).

Almost surely, 2^51417828 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 51417828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84467040).

51417828 is an abundant number, since it is smaller than the sum of its proper divisors (117516252).

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

51417828 is a wasteful number, since it uses less digits than its factorization.

51417828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

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

The square root of 51417828 is about 7170.6225671137. The cubic root of 51417828 is about 371.8529595769.

The spelling of 51417828 in words is "fifty-one million, four hundred seventeen thousand, eight hundred twenty-eight".