28767751188000 has 768 divisors, whose sum is σ = 105992238223872. Its totient is φ = 6760366080000.

The previous prime is 28767751187899. The next prime is 28767751188037. The reversal of 28767751188000 is 88115776782.

It is a super-2 number, since 2×28767751188000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 849667072 + ... + 849700928.

It is an arithmetic number, because the mean of its divisors is an integer number (138010726854).

Almost surely, 2^{28767751188000} is an apocalyptic number.

28767751188000 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 28767751188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996119111936).

28767751188000 is an abundant number, since it is smaller than the sum of its proper divisors (77224487035872).

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

28767751188000 is a wasteful number, since it uses less digits than its factorization.

28767751188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34094 (or 34076 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 60.

The spelling of 28767751188000 in words is "twenty-eight trillion, seven hundred sixty-seven billion, seven hundred fifty-one million, one hundred eighty-eight thousand".