28243400208960 has 896 divisors, whose sum is σ = 100906641285120. Its totient is φ = 6651147976704.

The previous prime is 28243400208923. The next prime is 28243400208997. The reversal of 28243400208960 is 6980200434282.

It is an interprime number because it is at equal distance from previous prime (28243400208923) and next prime (28243400208997).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17841692329 + ... + 17841693911.

Almost surely, 2^{28243400208960} is an apocalyptic number.

28243400208960 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 28243400208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50453320642560).

28243400208960 is an abundant number, since it is smaller than the sum of its proper divisors (72663241076160).

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

28243400208960 is a wasteful number, since it uses less digits than its factorization.

28243400208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 28243400208960 in words is "twenty-eight trillion, two hundred forty-three billion, four hundred million, two hundred eight thousand, nine hundred sixty".