728774450400 has 144 divisors (see below), whose sum is σ = 2375997926400. Its totient is φ = 194025500160.

The previous prime is 728774450381. The next prime is 728774450413. The reversal of 728774450400 is 4054477827.

It is a super-2 number, since 2×728774450400² (a number of 25 digits) contains 22 as substring.

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 728774450400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240321 + ... + 1730879.

It is an arithmetic number, because the mean of its divisors is an integer number (16499985600).

Almost surely, 2^728774450400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728774450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187998963200).

728774450400 is an abundant number, since it is smaller than the sum of its proper divisors (1647223476000).

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

728774450400 is a wasteful number, since it uses less digits than its factorization.

728774450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491201 (or 491188 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

The spelling of 728774450400 in words is "seven hundred twenty-eight billion, seven hundred seventy-four million, four hundred fifty thousand, four hundred".