28978933824 has 189 divisors, whose sum is σ = 85633191319. Its totient is φ = 9369569280.

The previous prime is 28978933811. The next prime is 28978933843. The reversal of 28978933824 is 42833987982.

The square root of 28978933824 is 170232.

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

It can be written as a sum of positive squares in 4 ways, for example, as 203918400 + 28775015424 = 14280^2 + 169632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167508202 + ... + 167508374.

Almost surely, 2^28978933824 is an apocalyptic number.

28978933824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28978933824 is the 170232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28978933824

28978933824 is an abundant number, since it is smaller than the sum of its proper divisors (56654257495).

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

28978933824 is an equidigital number, since it uses as much as digits as its factorization.

28978933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 219 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 28978933824 in words is "twenty-eight billion, nine hundred seventy-eight million, nine hundred thirty-three thousand, eight hundred twenty-four".