28394150400 has 1440 divisors, whose sum is σ = 132271117440. Its totient is φ = 5839257600.

The previous prime is 28394150399. The next prime is 28394150413. The reversal of 28394150400 is 405149382.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 292723152 + ... + 292723248.

Almost surely, 2^28394150400 is an apocalyptic number.

28394150400 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 28394150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66135558720).

28394150400 is an abundant number, since it is smaller than the sum of its proper divisors (103876967040).

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

28394150400 is a wasteful number, since it uses less digits than its factorization.

28394150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 28394150400 its reverse (405149382), we get a palindrome (28799299782).

The spelling of 28394150400 in words is "twenty-eight billion, three hundred ninety-four million, one hundred fifty thousand, four hundred".