28401408000 has 768 divisors, whose sum is σ = 120200371200. Its totient is φ = 6480691200.

The previous prime is 28401407921. The next prime is 28401408047. The reversal of 28401408000 is 80410482.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48383707 + ... + 48384293.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 2^28401408000 is an apocalyptic number.

28401408000 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 28401408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60100185600).

28401408000 is an abundant number, since it is smaller than the sum of its proper divisors (91798963200).

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

28401408000 is an equidigital number, since it uses as much as digits as its factorization.

28401408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 28401408000 its reverse (80410482), we get a palindrome (28481818482).

It can be divided in two parts, 28 and 401408000, that multiplied together give a cube (11239424000 = 2240³).

The spelling of 28401408000 in words is "twenty-eight billion, four hundred one million, four hundred eight thousand".