28713538028448 has 2688 divisors, whose sum is σ = 112497052631040. Its totient is φ = 7009239121920.

The previous prime is 28713538028429. The next prime is 28713538028467. The reversal of 28713538028448 is 84482083531782.

28713538028448 is a `hidden beast` number, since 2 + 8 + 7 + 13 + 538 + 0 + 2 + 84 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28713538028429) and next prime (28713538028467).

It is a super-2 number, since 2×28713538028448² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 206572215963 + ... + 206572216101.

It is an arithmetic number, because the mean of its divisors is an integer number (41851582080).

Almost surely, 2^{28713538028448} is an apocalyptic number.

28713538028448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28713538028448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56248526315520).

28713538028448 is an abundant number, since it is smaller than the sum of its proper divisors (83783514602592).

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

28713538028448 is a wasteful number, since it uses less digits than its factorization.

28713538028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

It can be divided in two parts, 2871353 and 8028448, that added together give a palindrome (10899801).

The spelling of 28713538028448 in words is "twenty-eight trillion, seven hundred thirteen billion, five hundred thirty-eight million, twenty-eight thousand, four hundred forty-eight".