28540013402880 has 1440 divisors, whose sum is σ = 119371423248000. Its totient is φ = 6508141903872.

The previous prime is 28540013402843. The next prime is 28540013402939. The reversal of 28540013402880 is 8820431004582.

28540013402880 is a `hidden beast` number, since 2 + 8 + 540 + 0 + 1 + 3 + 4 + 0 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23222142106 + ... + 23222143334.

It is an arithmetic number, because the mean of its divisors is an integer number (82896821700).

Almost surely, 2^{28540013402880} is an apocalyptic number.

28540013402880 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 28540013402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59685711624000).

28540013402880 is an abundant number, since it is smaller than the sum of its proper divisors (90831409845120).

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

28540013402880 is an equidigital number, since it uses as much as digits as its factorization.

28540013402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 28540013402880 in words is "twenty-eight trillion, five hundred forty billion, thirteen million, four hundred two thousand, eight hundred eighty".