28434071519280 has 480 divisors, whose sum is σ = 112769947689984. Its totient is φ = 6284760274944.

The previous prime is 28434071519261. The next prime is 28434071519309. The reversal of 28434071519280 is 8291517043482.

28434071519280 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 40 + 7 + 1 + 519 + 2 + 80 = 666.

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, 29928517 + ... + 30863963.

Almost surely, 2^{28434071519280} is an apocalyptic number.

28434071519280 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 28434071519280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56384973844992).

28434071519280 is an abundant number, since it is smaller than the sum of its proper divisors (84335876170704).

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

28434071519280 is a wasteful number, since it uses less digits than its factorization.

28434071519280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935673 (or 935664 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 28434071519280 in words is "twenty-eight trillion, four hundred thirty-four billion, seventy-one million, five hundred nineteen thousand, two hundred eighty".