28025015040000 has 1440 divisors, whose sum is σ = 114439911505920. Its totient is φ = 6793113600000.

The previous prime is 28025015039953. The next prime is 28025015040013. The reversal of 28025015040000 is 4051052082.

It is a happy number.

28025015040000 is a `hidden beast` number, since 2 + 8 + 0 + 250 + 1 + 5 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 3421435905 + ... + 3421444095.

It is an arithmetic number, because the mean of its divisors is an integer number (79472160768).

Almost surely, 2^{28025015040000} is an apocalyptic number.

28025015040000 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 28025015040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57219955752960).

28025015040000 is an abundant number, since it is smaller than the sum of its proper divisors (86414896465920).

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

28025015040000 is an frugal number, since it uses more digits than its factorization.

28025015040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8212 counting only the distinct ones).

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

Adding to 28025015040000 its reverse (4051052082), we get a palindrome (28029066092082).

The spelling of 28025015040000 in words is "twenty-eight trillion, twenty-five billion, fifteen million, forty thousand".