28006466400 has 1296 divisors, whose sum is σ = 120590031744. Its totient is φ = 6082560000.

The previous prime is 28006466399. The next prime is 28006466437. The reversal of 28006466400 is 466460082.

It is a happy number.

28006466400 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 6 + 4 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 459122370 + ... + 459122430.

It is an arithmetic number, because the mean of its divisors is an integer number (93047864).

Almost surely, 2^28006466400 is an apocalyptic number.

28006466400 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 28006466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60295015872).

28006466400 is an abundant number, since it is smaller than the sum of its proper divisors (92583565344).

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

28006466400 is a wasteful number, since it uses less digits than its factorization.

28006466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28006466400 in words is "twenty-eight billion, six million, four hundred sixty-six thousand, four hundred".