28881967467600 has 1440 divisors, whose sum is σ = 119860144709760. Its totient is φ = 6615586897920.

The previous prime is 28881967467599. The next prime is 28881967467607. The reversal of 28881967467600 is 676476918882.

28881967467600 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 1 + 9 + 6 + 7 + 4 + 6 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28881967467607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1911819247 + ... + 1911834353.

It is an arithmetic number, because the mean of its divisors is an integer number (83236211604).

Almost surely, 2^{28881967467600} is an apocalyptic number.

28881967467600 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 28881967467600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59930072354880).

28881967467600 is an abundant number, since it is smaller than the sum of its proper divisors (90978177242160).

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

28881967467600 is a wasteful number, since it uses less digits than its factorization.

28881967467600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15259 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 28881967467600 in words is "twenty-eight trillion, eight hundred eighty-one billion, nine hundred sixty-seven million, four hundred sixty-seven thousand, six hundred".