28349798400 has 1728 divisors, whose sum is σ = 136881239040. Its totient is φ = 5426380800.

The previous prime is 28349798387. The next prime is 28349798423. The reversal of 28349798400 is 489794382.

28349798400 is a `hidden beast` number, since 28 + 3 + 497 + 98 + 40 + 0 = 666.

It is a super-2 number, since 2×28349798400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 603187177 + ... + 603187223.

It is an arithmetic number, because the mean of its divisors is an integer number (79213680).

Almost surely, 2^28349798400 is an apocalyptic number.

28349798400 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 28349798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68440619520).

28349798400 is an abundant number, since it is smaller than the sum of its proper divisors (108531440640).

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

28349798400 is a wasteful number, since it uses less digits than its factorization.

28349798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28349798400 in words is "twenty-eight billion, three hundred forty-nine million, seven hundred ninety-eight thousand, four hundred".