28705454400 has 756 divisors, whose sum is σ = 114093126144. Its totient is φ = 6299596800.

The previous prime is 28705454387. The next prime is 28705454411. The reversal of 28705454400 is 445450782.

It is a super-2 number, since 2×28705454400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 226027137 + ... + 226027263.

Almost surely, 2^28705454400 is an apocalyptic number.

28705454400 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 28705454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57046563072).

28705454400 is an abundant number, since it is smaller than the sum of its proper divisors (85387671744).

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

28705454400 is a wasteful number, since it uses less digits than its factorization.

28705454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The spelling of 28705454400 in words is "twenty-eight billion, seven hundred five million, four hundred fifty-four thousand, four hundred".