28669262400 has 567 divisors, whose sum is σ = 109563729691. Its totient is φ = 7108730880.

The previous prime is 28669262353. The next prime is 28669262407. The reversal of 28669262400 is 426296682.

The square root of 28669262400 is 169320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 670602816 + 27998659584 = 25896^2 + 167328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28669262407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 345412759 + ... + 345412841.

Almost surely, 2^28669262400 is an apocalyptic number.

28669262400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28669262400 is the 169320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28669262400

28669262400 is an abundant number, since it is smaller than the sum of its proper divisors (80894467291).

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

28669262400 is a wasteful number, since it uses less digits than its factorization.

28669262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28669262400 in words is "twenty-eight billion, six hundred sixty-nine million, two hundred sixty-two thousand, four hundred".