28411688148480 has 3360 divisors, whose sum is σ = 134007724724544. Its totient is φ = 5634480144384.

The previous prime is 28411688148479. The next prime is 28411688148491. The reversal of 28411688148480 is 8484188611482.

28411688148480 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 1 + 6 + 8 + 8 + 148 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 37531952262 + ... + 37531953018.

Almost surely, 2^{28411688148480} is an apocalyptic number.

28411688148480 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 28411688148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67003862362272).

28411688148480 is an abundant number, since it is smaller than the sum of its proper divisors (105596036576064).

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

28411688148480 is an equidigital number, since it uses as much as digits as its factorization.

28411688148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 63.

The spelling of 28411688148480 in words is "twenty-eight trillion, four hundred eleven billion, six hundred eighty-eight million, one hundred forty-eight thousand, four hundred eighty".