28064290576 has 135 divisors (see below), whose sum is σ = 65698648533. Its totient is φ = 11579258880.

The previous prime is 28064290571. The next prime is 28064290621. The reversal of 28064290576 is 67509246082.

The square root of 28064290576 is 167524.

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., 6799651600 + 21264638976 = 82460^2 + 145824^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (28064290571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145410736 + ... + 145410928.

Almost surely, 2^28064290576 is an apocalyptic number.

28064290576 is the 167524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28064290576

28064290576 is an abundant number, since it is smaller than the sum of its proper divisors (37634357957).

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

28064290576 is an equidigital number, since it uses as much as digits as its factorization.

28064290576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 28064290576 by its sum of digits (49), we get a square (1375150238224 = 1172668²).

28064290576 divided by its sum of digits (49) gives a square (572740624 = 23932²).

The spelling of 28064290576 in words is "twenty-eight billion, sixty-four million, two hundred ninety thousand, five hundred seventy-six".