728519904 has 288 divisors, whose sum is σ = 2596950720. Its totient is φ = 188891136.

The previous prime is 728519893. The next prime is 728519923. The reversal of 728519904 is 409915827.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 728519904.

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, 993522 + ... + 994254.

It is an arithmetic number, because the mean of its divisors is an integer number (9017190).

Almost surely, 2^728519904 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 728519904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298475360).

728519904 is an abundant number, since it is smaller than the sum of its proper divisors (1868430816).

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

728519904 is a wasteful number, since it uses less digits than its factorization.

728519904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 728519904 is about 26991.1078690742. The cubic root of 728519904 is about 899.8023862426.

The spelling of 728519904 in words is "seven hundred twenty-eight million, five hundred nineteen thousand, nine hundred four".