51628928400 has 405 divisors, whose sum is σ = 208804391523. Its totient is φ = 11779084800.

The previous prime is 51628928363. The next prime is 51628928401. The reversal of 51628928400 is 482982615.

The square root of 51628928400 is 227220.

It is a perfect power (a square), and thus also a powerful number.

51628928400 is a `hidden beast` number, since 5 + 162 + 89 + 2 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3045715344 + 48583213056 = 55188^2 + 220416^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51628928401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95432130 + ... + 95432670.

Almost surely, 2^51628928400 is an apocalyptic number.

51628928400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51628928400 is the 227220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51628928400

51628928400 is an abundant number, since it is smaller than the sum of its proper divisors (157175463123).

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

51628928400 is a wasteful number, since it uses less digits than its factorization.

51628928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51628928400 in words is "fifty-one billion, six hundred twenty-eight million, nine hundred twenty-eight thousand, four hundred".