28266320625664 has 243 divisors, whose sum is σ = 63210241183831. Its totient is φ = 12630559293440.

The previous prime is 28266320625643. The next prime is 28266320625667. The reversal of 28266320625664 is 46652602366282.

It is a happy number.

The square root of 28266320625664 is 5316608.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28266320625599 and 28266320625608.

It is not an unprimeable number, because it can be changed into a prime (28266320625667) 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, 479090180067 + ... + 479090180125.

Almost surely, 2^{28266320625664} is an apocalyptic number.

28266320625664 is the 5316608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28266320625664

28266320625664 is an abundant number, since it is smaller than the sum of its proper divisors (34943920558167).

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

28266320625664 is an frugal number, since it uses more digits than its factorization.

28266320625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 58.

The spelling of 28266320625664 in words is "twenty-eight trillion, two hundred sixty-six billion, three hundred twenty million, six hundred twenty-five thousand, six hundred sixty-four".