8028518400 has 864 divisors, whose sum is σ = 34854019200. Its totient is φ = 1725235200.

The previous prime is 8028518389. The next prime is 8028518401. The reversal of 8028518400 is 48158208.

8028518400 is a `hidden beast` number, since 80 + 28 + 518 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028518401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61286335 + ... + 61286465.

It is an arithmetic number, because the mean of its divisors is an integer number (40340300).

Almost surely, 2^8028518400 is an apocalyptic number.

8028518400 is a gapful number since it is divisible by the number (80) 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 8028518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427009600).

8028518400 is an abundant number, since it is smaller than the sum of its proper divisors (26825500800).

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

8028518400 is a wasteful number, since it uses less digits than its factorization.

8028518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8028518400 is about 89601.9999776791. Note that the first 4 decimals coincide. The cubic root of 8028518400 is about 2002.3737149574.

The spelling of 8028518400 in words is "eight billion, twenty-eight million, five hundred eighteen thousand, four hundred".