51428000 has 192 divisors, whose sum is σ = 145297152. Its totient is φ = 17740800.

The previous prime is 51427997. The next prime is 51428017. The reversal of 51428000 is 82415.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195979 + ... + 1196021.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 2^51428000 is an apocalyptic number.

51428000 is a gapful number since it is divisible by the number (50) 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 51428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

51428000 is an abundant number, since it is smaller than the sum of its proper divisors (93869152).

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

51428000 is a wasteful number, since it uses less digits than its factorization.

51428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 51428000 is about 7171.3318149420. The cubic root of 51428000 is about 371.8774792105.

The spelling of 51428000 in words is "fifty-one million, four hundred twenty-eight thousand".