28967318029440 has 3072 divisors, whose sum is σ = 129340882944000. Its totient is φ = 6048301694976.

The previous prime is 28967318029439. The next prime is 28967318029537. The reversal of 28967318029440 is 4492081376982.

28967318029440 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 7 + 3 + 180 + 2 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 80688907981 + ... + 80688908339.

It is an arithmetic number, because the mean of its divisors is an integer number (42103152000).

Almost surely, 2^{28967318029440} is an apocalyptic number.

28967318029440 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 28967318029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64670441472000).

28967318029440 is an abundant number, since it is smaller than the sum of its proper divisors (100373564914560).

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

28967318029440 is a wasteful number, since it uses less digits than its factorization.

28967318029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 28967318029440 in words is "twenty-eight trillion, nine hundred sixty-seven billion, three hundred eighteen million, twenty-nine thousand, four hundred forty".