28530541670400 has 1872 divisors, whose sum is σ = 127847476523520. Its totient is φ = 5907913113600.

The previous prime is 28530541670381. The next prime is 28530541670459. The reversal of 28530541670400 is 407614503582.

28530541670400 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 0 + 541 + 67 + 0 + 40 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 29023948309 + ... + 29023949291.

It is an arithmetic number, because the mean of its divisors is an integer number (68294592160).

Almost surely, 2^{28530541670400} is an apocalyptic number.

28530541670400 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 28530541670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63923738261760).

28530541670400 is an abundant number, since it is smaller than the sum of its proper divisors (99316934853120).

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

28530541670400 is a wasteful number, since it uses less digits than its factorization.

28530541670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 28530541670400 in words is "twenty-eight trillion, five hundred thirty billion, five hundred forty-one million, six hundred seventy thousand, four hundred".