28064480998464 has 189 divisors, whose sum is σ = 80817048185367. Its totient is φ = 9311386745088.

The previous prime is 28064480998423. The next prime is 28064480998513. The reversal of 28064480998464 is 46489908446082.

The square root of 28064480998464 is 5297592.

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

28064480998464 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 4 + 480 + 9 + 9 + 84 + 64 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28064480998392 and 28064480998401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39032657497 + ... + 39032658215.

Almost surely, 2^{28064480998464} is an apocalyptic number.

28064480998464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28064480998464 is the 5297592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28064480998464

28064480998464 is an abundant number, since it is smaller than the sum of its proper divisors (52752567186903).

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

28064480998464 is an frugal number, since it uses more digits than its factorization.

28064480998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 28064480998464 in words is "twenty-eight trillion, sixty-four billion, four hundred eighty million, nine hundred ninety-eight thousand, four hundred sixty-four".