28929085194240 has 1080 divisors, whose sum is σ = 127264370465232. Its totient is φ = 6011155906560.

The previous prime is 28929085194167. The next prime is 28929085194241. The reversal of 28929085194240 is 4249158092982.

28929085194240 is a `hidden beast` number, since 2 + 8 + 9 + 2 + 90 + 8 + 519 + 4 + 24 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28929085194241) 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, 397357522 + ... + 397430318.

Almost surely, 2^{28929085194240} is an apocalyptic number.

28929085194240 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 28929085194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63632185232616).

28929085194240 is an abundant number, since it is smaller than the sum of its proper divisors (98335285270992).

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

28929085194240 is a wasteful number, since it uses less digits than its factorization.

28929085194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72861 (or 72825 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 28929085194240 in words is "twenty-eight trillion, nine hundred twenty-nine billion, eighty-five million, one hundred ninety-four thousand, two hundred forty".