28771628988960 has 2880 divisors, whose sum is σ = 126560748948480. Its totient is φ = 6106038681600.

The previous prime is 28771628988923. The next prime is 28771628989069. The reversal of 28771628988960 is 6988982617782.

28771628988960 is a `hidden beast` number, since 287 + 7 + 162 + 8 + 98 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 28771628988960.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33494329011 + ... + 33494329869.

It is an arithmetic number, because the mean of its divisors is an integer number (43944704496).

Almost surely, 2^{28771628988960} is an apocalyptic number.

28771628988960 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 28771628988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63280374474240).

28771628988960 is an abundant number, since it is smaller than the sum of its proper divisors (97789119959520).

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

28771628988960 is a wasteful number, since it uses less digits than its factorization.

28771628988960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 81.

The spelling of 28771628988960 in words is "twenty-eight trillion, seven hundred seventy-one billion, six hundred twenty-eight million, nine hundred eighty-eight thousand, nine hundred sixty".