28219374400 has 504 divisors, whose sum is σ = 88413555456. Its totient is φ = 8799436800.

The previous prime is 28219374377. The next prime is 28219374437. The reversal of 28219374400 is 447391282.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41316459 + ... + 41317141.

Almost surely, 2^28219374400 is an apocalyptic number.

28219374400 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 28219374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44206777728).

28219374400 is an abundant number, since it is smaller than the sum of its proper divisors (60194181056).

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

28219374400 is a wasteful number, since it uses less digits than its factorization.

28219374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 28219374400 in words is "twenty-eight billion, two hundred nineteen million, three hundred seventy-four thousand, four hundred".