28029727440000 has 1440 divisors, whose sum is σ = 119313461767500. Its totient is φ = 6272133120000.

The previous prime is 28029727439977. The next prime is 28029727440037. The reversal of 28029727440000 is 4472792082.

It can be written as a sum of positive squares in 10 ways, for example, as 626010099264 + 27403717340736 = 791208^2 + 5234856^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1132547626 + ... + 1132572374.

Almost surely, 2^{28029727440000} is an apocalyptic number.

28029727440000 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 28029727440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59656730883750).

28029727440000 is an abundant number, since it is smaller than the sum of its proper divisors (91283734327500).

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

28029727440000 is a wasteful number, since it uses less digits than its factorization.

28029727440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24824 (or 24783 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 28029727440000 in words is "twenty-eight trillion, twenty-nine billion, seven hundred twenty-seven million, four hundred forty thousand".