28535388480000 has 1600 divisors, whose sum is σ = 108046387088640. Its totient is φ = 7431782400000.

The previous prime is 28535388479971. The next prime is 28535388480041. The reversal of 28535388480000 is 8488353582.

28535388480000 is a `hidden beast` number, since 2 + 85 + 3 + 5 + 3 + 88 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111032639872 + ... + 111032640128.

Almost surely, 2^{28535388480000} is an apocalyptic number.

28535388480000 is a gapful number since it is divisible by the number (20) 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 28535388480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54023193544320).

28535388480000 is an abundant number, since it is smaller than the sum of its proper divisors (79510998608640).

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

28535388480000 is an equidigital number, since it uses as much as digits as its factorization.

28535388480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 28535388480000 in words is "twenty-eight trillion, five hundred thirty-five billion, three hundred eighty-eight million, four hundred eighty thousand".