28601090324928 has 448 divisors, whose sum is σ = 92970041379840. Its totient is φ = 8550047232000.

The previous prime is 28601090324897. The next prime is 28601090324951. The reversal of 28601090324928 is 82942309010682.

28601090324928 is a `hidden beast` number, since 2 + 8 + 60 + 1 + 0 + 90 + 3 + 2 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531759925 + ... + 531813707.

Almost surely, 2^{28601090324928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28601090324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46485020689920).

28601090324928 is an abundant number, since it is smaller than the sum of its proper divisors (64368951054912).

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

28601090324928 is a wasteful number, since it uses less digits than its factorization.

28601090324928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54193 (or 54177 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 28601090324928 in words is "twenty-eight trillion, six hundred one billion, ninety million, three hundred twenty-four thousand, nine hundred twenty-eight".