28355090498280 has 3072 divisors, whose sum is σ = 126774595584000. Its totient is φ = 5329981440000.

The previous prime is 28355090498279. The next prime is 28355090498303. The reversal of 28355090498280 is 8289409055382.

28355090498280 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 50 + 90 + 498 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×28355090498280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 187782056205 + ... + 187782056355.

It is an arithmetic number, because the mean of its divisors is an integer number (41267772000).

Almost surely, 2^{28355090498280} is an apocalyptic number.

28355090498280 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 28355090498280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63387297792000).

28355090498280 is an abundant number, since it is smaller than the sum of its proper divisors (98419505085720).

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

28355090498280 is a wasteful number, since it uses less digits than its factorization.

28355090498280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 28355090498280 in words is "twenty-eight trillion, three hundred fifty-five billion, ninety million, four hundred ninety-eight thousand, two hundred eighty".