28040256000000 has 1274 divisors, whose sum is σ = 105263561320106. Its totient is φ = 7464960000000.

The previous prime is 28040255999957. The next prime is 28040256000091. The reversal of 28040256000000 is 65204082.

It can be written as a sum of positive squares in 7 ways, for example, as 27377842323456 + 662413676544 = 5232384^2 + 813888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 46655999700 + ... + 46656000300.

Almost surely, 2^{28040256000000} is an apocalyptic number.

28040256000000 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 28040256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52631780660053).

28040256000000 is an abundant number, since it is smaller than the sum of its proper divisors (77223305320106).

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

28040256000000 is an frugal number, since it uses more digits than its factorization.

28040256000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 28040256000000 in words is "twenty-eight trillion, forty billion, two hundred fifty-six million", and thus it is an aban number.