28981382976 has 336 divisors, whose sum is σ = 102515212800. Its totient is φ = 7622885376.

The previous prime is 28981382933. The next prime is 28981382981. The reversal of 28981382976 is 67928318982.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

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, 37686720 + ... + 37687488.

It is an arithmetic number, because the mean of its divisors is an integer number (305104800).

Almost surely, 2^28981382976 is an apocalyptic number.

28981382976 is a gapful number since it is divisible by the number (26) 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 28981382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51257606400).

28981382976 is an abundant number, since it is smaller than the sum of its proper divisors (73533829824).

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

28981382976 is a wasteful number, since it uses less digits than its factorization.

28981382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1513 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 28981382976 in words is "twenty-eight billion, nine hundred eighty-one million, three hundred eighty-two thousand, nine hundred seventy-six".