28089277070400 has 2016 divisors, whose sum is σ = 127974027138048. Its totient is φ = 5901050880000.

The previous prime is 28089277070341. The next prime is 28089277070423. The reversal of 28089277070400 is 407077298082.

28089277070400 is a `hidden beast` number, since 2 + 8 + 0 + 89 + 27 + 70 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 8880579219 + ... + 8880582381.

It is an arithmetic number, because the mean of its divisors is an integer number (63479180128).

Almost surely, 2^{28089277070400} is an apocalyptic number.

28089277070400 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 28089277070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63987013569024).

28089277070400 is an abundant number, since it is smaller than the sum of its proper divisors (99884750067648).

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

28089277070400 is a wasteful number, since it uses less digits than its factorization.

28089277070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 28089277070400 in words is "twenty-eight trillion, eighty-nine billion, two hundred seventy-seven million, seventy thousand, four hundred".