728779500 has 144 divisors (see below), whose sum is σ = 2332459584. Its totient is φ = 191520000.

The previous prime is 728779481. The next prime is 728779501. The reversal of 728779500 is 5977827.

728779500 is a `hidden beast` number, since 72 + 8 + 7 + 79 + 500 = 666.

728779500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728779500² = 1062239119240500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728779501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318360 + ... + 320640.

It is an arithmetic number, because the mean of its divisors is an integer number (16197636).

Almost surely, 2^728779500 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 728779500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166229792).

728779500 is an abundant number, since it is smaller than the sum of its proper divisors (1603680084).

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

728779500 is a wasteful number, since it uses less digits than its factorization.

728779500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 728779500 is about 26995.9163578494. The cubic root of 728779500 is about 899.9092501090.

The spelling of 728779500 in words is "seven hundred twenty-eight million, seven hundred seventy-nine thousand, five hundred".