28544250240 has 768 divisors, whose sum is σ = 114680966400. Its totient is φ = 6469632000.

The previous prime is 28544250233. The next prime is 28544250253. The reversal of 28544250240 is 4205244582.

28544250240 is a `hidden beast` number, since 28 + 54 + 42 + 502 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28544250195 and 28544250204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157702950 + ... + 157703130.

It is an arithmetic number, because the mean of its divisors is an integer number (149324175).

Almost surely, 2^28544250240 is an apocalyptic number.

28544250240 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 28544250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57340483200).

28544250240 is an abundant number, since it is smaller than the sum of its proper divisors (86136716160).

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

28544250240 is a wasteful number, since it uses less digits than its factorization.

28544250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 28544 and 250240, that added together give a square (278784 = 528²).

The spelling of 28544250240 in words is "twenty-eight billion, five hundred forty-four million, two hundred fifty thousand, two hundred forty".