28849270494240 has 1152 divisors, whose sum is σ = 115322613719040. Its totient is φ = 6431820595200.

The previous prime is 28849270494223. The next prime is 28849270494263. The reversal of 28849270494240 is 4249407294882.

28849270494240 is a `hidden beast` number, since 2 + 8 + 84 + 9 + 27 + 0 + 494 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33584714931 + ... + 33584715789.

It is an arithmetic number, because the mean of its divisors is an integer number (100106435520).

Almost surely, 2^{28849270494240} is an apocalyptic number.

28849270494240 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 28849270494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57661306859520).

28849270494240 is an abundant number, since it is smaller than the sum of its proper divisors (86473343224800).

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

28849270494240 is a wasteful number, since it uses less digits than its factorization.

28849270494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 28849270494240 in words is "twenty-eight trillion, eight hundred forty-nine billion, two hundred seventy million, four hundred ninety-four thousand, two hundred forty".