728784000 has 512 divisors, whose sum is σ = 3080563200. Its totient is φ = 165888000.

The previous prime is 728783987. The next prime is 728784013. The reversal of 728784000 is 487827.

It is an interprime number because it is at equal distance from previous prime (728783987) and next prime (728784013).

It is a super-2 number, since 2×728784000² = 1062252237312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023880 + ... + 3024120.

It is an arithmetic number, because the mean of its divisors is an integer number (6016725).

Almost surely, 2^728784000 is an apocalyptic number.

728784000 is a gapful number since it is divisible by the number (70) 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 728784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540281600).

728784000 is an abundant number, since it is smaller than the sum of its proper divisors (2351779200).

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

728784000 is a wasteful number, since it uses less digits than its factorization.

728784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 728784000 is about 26995.9997036598. Note that the first 3 decimals coincide. The cubic root of 728784000 is about 899.9111023305.

The spelling of 728784000 in words is "seven hundred twenty-eight million, seven hundred eighty-four thousand".