28357248177540 has 192 divisors, whose sum is σ = 89210187601920. Its totient is φ = 7477686253440.

The previous prime is 28357248177529. The next prime is 28357248177611. The reversal of 28357248177540 is 4577184275382.

28357248177540 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 7 + 2 + 4 + 81 + 7 + 7 + 540 = 666.

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 63 ways as a sum of consecutive naturals, for example, 19311177 + ... + 20727663.

It is an arithmetic number, because the mean of its divisors is an integer number (464636393760).

Almost surely, 2^{28357248177540} is an apocalyptic number.

28357248177540 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 28357248177540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44605093800960).

28357248177540 is an abundant number, since it is smaller than the sum of its proper divisors (60852939424380).

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

28357248177540 is a wasteful number, since it uses less digits than its factorization.

28357248177540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416919 (or 1416911 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 28357248177540 in words is "twenty-eight trillion, three hundred fifty-seven billion, two hundred forty-eight million, one hundred seventy-seven thousand, five hundred forty".