28033438777344 has 4352 divisors, whose sum is σ = 126834785280000. Its totient is φ = 5992989327360.

The previous prime is 28033438777301. The next prime is 28033438777387. The reversal of 28033438777344 is 44377783433082.

28033438777344 is a `hidden beast` number, since 2 + 80 + 33 + 43 + 87 + 77 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (28033438777301) and next prime (28033438777387).

It is a tau number, because it is divible by the number of its divisors (4352).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1475444146167 + ... + 1475444146185.

Almost surely, 2^{28033438777344} is an apocalyptic number.

28033438777344 is a gapful number since it is divisible by the number (24) 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 28033438777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63417392640000).

28033438777344 is an abundant number, since it is smaller than the sum of its proper divisors (98801346502656).

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

28033438777344 is a wasteful number, since it uses less digits than its factorization.

28033438777344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 63.

The spelling of 28033438777344 in words is "twenty-eight trillion, thirty-three billion, four hundred thirty-eight million, seven hundred seventy-seven thousand, three hundred forty-four".