28605822271488 has 1056 divisors, whose sum is σ = 106992978543360. Its totient is φ = 7430083706880.

The previous prime is 28605822271469. The next prime is 28605822271513. The reversal of 28605822271488 is 88417222850682.

28605822271488 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 5 + 82 + 2 + 2 + 71 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2600529297403 + ... + 2600529297413.

Almost surely, 2^{28605822271488} is an apocalyptic number.

28605822271488 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 28605822271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53496489271680).

28605822271488 is an abundant number, since it is smaller than the sum of its proper divisors (78387156271872).

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

28605822271488 is an frugal number, since it uses more digits than its factorization.

28605822271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 28605822271488 in words is "twenty-eight trillion, six hundred five billion, eight hundred twenty-two million, two hundred seventy-one thousand, four hundred eighty-eight".