28525406148000 has 960 divisors, whose sum is σ = 105418262581632. Its totient is φ = 7554661171200.

The previous prime is 28525406147981. The next prime is 28525406148023. The reversal of 28525406148000 is 84160452582.

28525406148000 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 540 + 61 + 48 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50666795719 + ... + 50666796281.

Almost surely, 2^{28525406148000} is an apocalyptic number.

28525406148000 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 28525406148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52709131290816).

28525406148000 is an abundant number, since it is smaller than the sum of its proper divisors (76892856433632).

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

28525406148000 is a wasteful number, since it uses less digits than its factorization.

28525406148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 28525406148000 in words is "twenty-eight trillion, five hundred twenty-five billion, four hundred six million, one hundred forty-eight thousand".