28767219732000 has 1152 divisors, whose sum is σ = 114072850644480. Its totient is φ = 6828200755200.

The previous prime is 28767219731927. The next prime is 28767219732049. The reversal of 28767219732000 is 23791276782.

28767219732000 is a `hidden beast` number, since 287 + 6 + 72 + 1 + 97 + 3 + 200 + 0 = 666.

It is a super-2 number, since 2×28767219732000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1252752519 + ... + 1252775481.

It is an arithmetic number, because the mean of its divisors is an integer number (99021571740).

Almost surely, 2^{28767219732000} is an apocalyptic number.

28767219732000 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 28767219732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57036425322240).

28767219732000 is an abundant number, since it is smaller than the sum of its proper divisors (85305630912480).

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

28767219732000 is a wasteful number, since it uses less digits than its factorization.

28767219732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23102 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 28767219732000 in words is "twenty-eight trillion, seven hundred sixty-seven billion, two hundred nineteen million, seven hundred thirty-two thousand".