28288473953481 has 81 divisors (see below), whose sum is σ = 47781167639751. Its totient is φ = 16080658017984.

The previous prime is 28288473953449. The next prime is 28288473953491. The reversal of 28288473953481 is 18435937488282.

28288473953481 = 1³ + 2³ + ... + 3261³.

The square root of 28288473953481 is 5318691.

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

28288473953481 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 8 + 4 + 7 + 3 + 9 + 534 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5744818017225 + 22543655936256 = 2396835^2 + 4748016^2 .

It is not a de Polignac number, because 28288473953481 - 2⁵ = 28288473953449 is a prime.

It is a super-2 number, since 2×28288473953481² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28288473953431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26024354520 + ... + 26024355606.

Almost surely, 2^{28288473953481} is an apocalyptic number.

28288473953481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28288473953481 is the 5318691-st square number.

28288473953481 is the 2659346-th centered octagonal number.

It is an amenable number.

28288473953481 is a deficient number, since it is larger than the sum of its proper divisors (19492693686270).

28288473953481 is an frugal number, since it uses more digits than its factorization.

28288473953481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 1330 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 28288473953481 in words is "twenty-eight trillion, two hundred eighty-eight billion, four hundred seventy-three million, nine hundred fifty-three thousand, four hundred eighty-one".