28965181440 has 768 divisors, whose sum is σ = 107486870400. Its totient is φ = 6606028800.

The previous prime is 28965181439. The next prime is 28965181457. The reversal of 28965181440 is 4418156982.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28965181440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474839010 + ... + 474839070.

Almost surely, 2^28965181440 is an apocalyptic number.

28965181440 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 28965181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53743435200).

28965181440 is an abundant number, since it is smaller than the sum of its proper divisors (78521688960).

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

28965181440 is a wasteful number, since it uses less digits than its factorization.

28965181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

It can be divided in two parts, 289651 and 81440, that added together give a triangular number (371091 = T₈₆₁).

The spelling of 28965181440 in words is "twenty-eight billion, nine hundred sixty-five million, one hundred eighty-one thousand, four hundred forty".