28454139302400 has 1200 divisors, whose sum is σ = 122917493419776. Its totient is φ = 6365348167680.

The previous prime is 28454139302383. The next prime is 28454139302419. The reversal of 28454139302400 is 420393145482.

28454139302400 is a `hidden beast` number, since 2 + 8 + 4 + 541 + 39 + 30 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 341065492 + ... + 341148908.

Almost surely, 2^{28454139302400} is an apocalyptic number.

28454139302400 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 28454139302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61458746709888).

28454139302400 is an abundant number, since it is smaller than the sum of its proper divisors (94463354117376).

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

28454139302400 is an equidigital number, since it uses as much as digits as its factorization.

28454139302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83511 (or 83481 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28454139302400 in words is "twenty-eight trillion, four hundred fifty-four billion, one hundred thirty-nine million, three hundred two thousand, four hundred".