28729600 has 81 divisors (see below), whose sum is σ = 72187437. Its totient is φ = 11320320.

The previous prime is 28729583. The next prime is 28729601. The reversal of 28729600 is 692782.

The square root of 28729600 is 5360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10342656 + 18386944 = 3216^2 + 4288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28729601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 428767 + ... + 428833.

Almost surely, 2^28729600 is an apocalyptic number.

28729600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28729600 is the 5360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28729600

28729600 is an abundant number, since it is smaller than the sum of its proper divisors (43457837).

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

28729600 is an frugal number, since it uses more digits than its factorization.

28729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The cubic root of 28729600 is about 306.2738090611.

The spelling of 28729600 in words is "twenty-eight million, seven hundred twenty-nine thousand, six hundred".