28965228456384 has 168 divisors, whose sum is σ = 90717528170880. Its totient is φ = 8763160896000.

The previous prime is 28965228456377. The next prime is 28965228456419. The reversal of 28965228456384 is 48365482256982.

28965228456384 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 52 + 2 + 8 + 4 + 563 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229309 + ... + 7614659.

Almost surely, 2^{28965228456384} is an apocalyptic number.

28965228456384 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 28965228456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45358764085440).

28965228456384 is an abundant number, since it is smaller than the sum of its proper divisors (61752299714496).

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

28965228456384 is a wasteful number, since it uses less digits than its factorization.

28965228456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385999 (or 7385986 counting only the distinct ones).

The product of its digits is 1592524800, while the sum is 72.

The spelling of 28965228456384 in words is "twenty-eight trillion, nine hundred sixty-five billion, two hundred twenty-eight million, four hundred fifty-six thousand, three hundred eighty-four".