28779414400 has 384 divisors, whose sum is σ = 81241898400. Its totient is φ = 10061004800.

The previous prime is 28779414373. The next prime is 28779414409. The reversal of 28779414400 is 441497782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28779414409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123516684 + ... + 123516916.

Almost surely, 2^28779414400 is an apocalyptic number.

28779414400 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 28779414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40620949200).

28779414400 is an abundant number, since it is smaller than the sum of its proper divisors (52462484000).

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

28779414400 is a wasteful number, since it uses less digits than its factorization.

28779414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 28779414400 in words is "twenty-eight billion, seven hundred seventy-nine million, four hundred fourteen thousand, four hundred".