28418981567088 has 320 divisors, whose sum is σ = 93529282314240. Its totient is φ = 7238752137216.

The previous prime is 28418981567051. The next prime is 28418981567101. The reversal of 28418981567088 is 88076518981482.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886332145 + ... + 886364207.

It is an arithmetic number, because the mean of its divisors is an integer number (292279007232).

Almost surely, 2^{28418981567088} is an apocalyptic number.

28418981567088 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 28418981567088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46764641157120).

28418981567088 is an abundant number, since it is smaller than the sum of its proper divisors (65110300747152).

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

28418981567088 is a wasteful number, since it uses less digits than its factorization.

28418981567088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40284 (or 40278 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 75.

The spelling of 28418981567088 in words is "twenty-eight trillion, four hundred eighteen billion, nine hundred eighty-one million, five hundred sixty-seven thousand, eighty-eight".