28457746513920 has 720 divisors, whose sum is σ = 101534583870720. Its totient is φ = 7367769980928.

The previous prime is 28457746513879. The next prime is 28457746513981. The reversal of 28457746513920 is 2931564775482.

It is a happy number.

28457746513920 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 77 + 46 + 513 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17977097449 + ... + 17977099031.

It is an arithmetic number, because the mean of its divisors is an integer number (141020255376).

It is a 3-persistent number, because k⋅28457746513920 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{28457746513920} is an apocalyptic number.

28457746513920 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 28457746513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50767291935360).

28457746513920 is an abundant number, since it is smaller than the sum of its proper divisors (73076837356800).

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

28457746513920 is a wasteful number, since it uses less digits than its factorization.

28457746513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 28457746513920 in words is "twenty-eight trillion, four hundred fifty-seven billion, seven hundred forty-six million, five hundred thirteen thousand, nine hundred twenty".