51028000 has 48 divisors (see below), whose sum is σ = 125385624. Its totient is φ = 20409600.

The previous prime is 51027967. The next prime is 51028009. The reversal of 51028000 is 82015.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16875664 + 34152336 = 4108^2 + 5844^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (51028009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2379 + ... + 10378.

Almost surely, 2^51028000 is an apocalyptic number.

51028000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51028000 is an abundant number, since it is smaller than the sum of its proper divisors (74357624).

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

51028000 is a wasteful number, since it uses less digits than its factorization.

51028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 51028000 is about 7143.3885516609. The cubic root of 51028000 is about 370.9108311989.

The spelling of 51028000 in words is "fifty-one million, twenty-eight thousand".