28771346404800 has 336 divisors, whose sum is σ = 104897714613600. Its totient is φ = 7671225139200.

The previous prime is 28771346404751. The next prime is 28771346404817. The reversal of 28771346404800 is 840464317782.

28771346404800 is a `hidden beast` number, since 2 + 8 + 7 + 71 + 34 + 64 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315703240 + ... + 315794360.

Almost surely, 2^{28771346404800} is an apocalyptic number.

28771346404800 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 28771346404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52448857306800).

28771346404800 is an abundant number, since it is smaller than the sum of its proper divisors (76126368208800).

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

28771346404800 is a wasteful number, since it uses less digits than its factorization.

28771346404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98461 (or 98440 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 28771346404800 in words is "twenty-eight trillion, seven hundred seventy-one billion, three hundred forty-six million, four hundred four thousand, eight hundred".