51928800 has 288 divisors, whose sum is σ = 211486464. Its totient is φ = 10752000.

The previous prime is 51928781. The next prime is 51928823. The reversal of 51928800 is 882915.

51928800 = 364² + 365² + ... + 588².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184660 + ... + 184940.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 2^51928800 is an apocalyptic number.

51928800 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 51928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105743232).

51928800 is an abundant number, since it is smaller than the sum of its proper divisors (159557664).

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

51928800 is a wasteful number, since it uses less digits than its factorization.

51928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 51928800 is about 7206.1640281082. The cubic root of 51928800 is about 373.0806822331.

The spelling of 51928800 in words is "fifty-one million, nine hundred twenty-eight thousand, eight hundred".