5728749600 has 288 divisors, whose sum is σ = 21833352576. Its totient is φ = 1277337600.

The previous prime is 5728749571. The next prime is 5728749613. The reversal of 5728749600 is 69478275.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5728749600.

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, 684642 + ... + 692958.

It is an arithmetic number, because the mean of its divisors is an integer number (75810252).

Almost surely, 2^5728749600 is an apocalyptic number.

5728749600 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 5728749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916676288).

5728749600 is an abundant number, since it is smaller than the sum of its proper divisors (16104602976).

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

5728749600 is a wasteful number, since it uses less digits than its factorization.

5728749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5728749600 is about 75688.5037505697. The cubic root of 5728749600 is about 1789.3142197852.

The spelling of 5728749600 in words is "five billion, seven hundred twenty-eight million, seven hundred forty-nine thousand, six hundred".