28814950400 has 180 divisors, whose sum is σ = 72258312672. Its totient is φ = 11397365760.

The previous prime is 28814950369. The next prime is 28814950453. The reversal of 28814950400 is 405941882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42188459 + ... + 42189141.

Almost surely, 2^28814950400 is an apocalyptic number.

28814950400 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 28814950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36129156336).

28814950400 is an abundant number, since it is smaller than the sum of its proper divisors (43443362272).

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

28814950400 is an equidigital number, since it uses as much as digits as its factorization.

28814950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 28814950400 in words is "twenty-eight billion, eight hundred fourteen million, nine hundred fifty thousand, four hundred".