537928828800 has 288 divisors, whose sum is σ = 1947523293240. Its totient is φ = 130406707200.

The previous prime is 537928828793. The next prime is 537928828847. The reversal of 537928828800 is 8828829735.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 930054 + ... + 1393146.

Almost surely, 2^537928828800 is an apocalyptic number.

537928828800 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 537928828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973761646620).

537928828800 is an abundant number, since it is smaller than the sum of its proper divisors (1409594464440).

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

537928828800 is a wasteful number, since it uses less digits than its factorization.

537928828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463142 (or 463114 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 537928828800 in words is "five hundred thirty-seven billion, nine hundred twenty-eight million, eight hundred twenty-eight thousand, eight hundred".