28802355459840 has 1152 divisors, whose sum is σ = 112030403788800. Its totient is φ = 6975683297280.

The previous prime is 28802355459833. The next prime is 28802355459853. The reversal of 28802355459840 is 4895455320882.

It is a happy number.

28802355459840 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 2 + 3 + 5 + 545 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6975622896 + ... + 6975627024.

It is an arithmetic number, because the mean of its divisors is an integer number (97248614400).

Almost surely, 2^{28802355459840} is an apocalyptic number.

28802355459840 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 28802355459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56015201894400).

28802355459840 is an abundant number, since it is smaller than the sum of its proper divisors (83228048328960).

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

28802355459840 is a wasteful number, since it uses less digits than its factorization.

28802355459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 28802355459840 in words is "twenty-eight trillion, eight hundred two billion, three hundred fifty-five million, four hundred fifty-nine thousand, eight hundred forty".