28009624777744 has 135 divisors (see below), whose sum is σ = 58042779028383. Its totient is φ = 13092241787712.

The previous prime is 28009624777709. The next prime is 28009624777753. The reversal of 28009624777744 is 44777742690082.

The square root of 28009624777744 is 5292412.

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

It is a super-3 number, since 3×28009624777744³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28009624777744.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33384534477 + ... + 33384535315.

Almost surely, 2^{28009624777744} is an apocalyptic number.

28009624777744 is the 5292412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28009624777744

28009624777744 is an abundant number, since it is smaller than the sum of its proper divisors (30033154250639).

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

28009624777744 is an frugal number, since it uses more digits than its factorization.

28009624777744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 67.

The spelling of 28009624777744 in words is "twenty-eight trillion, nine billion, six hundred twenty-four million, seven hundred seventy-seven thousand, seven hundred forty-four".