28540512000 has 2160 divisors, whose sum is σ = 143681393856. Its totient is φ = 5474304000.

The previous prime is 28540511953. The next prime is 28540512029. The reversal of 28540512000 is 21504582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2195423994 + ... + 2195424006.

Almost surely, 2^28540512000 is an apocalyptic number.

28540512000 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 28540512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71840696928).

28540512000 is an abundant number, since it is smaller than the sum of its proper divisors (115140881856).

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

28540512000 is a wasteful number, since it uses less digits than its factorization.

28540512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 28540512000 in words is "twenty-eight billion, five hundred forty million, five hundred twelve thousand".