28966321440 has 384 divisors, whose sum is σ = 120905809920. Its totient is φ = 6332857344.

The previous prime is 28966321399. The next prime is 28966321441. The reversal of 28966321440 is 4412366982.

28966321440 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 632 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28966321441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674697 + ... + 716343.

It is an arithmetic number, because the mean of its divisors is an integer number (314858880).

Almost surely, 2^28966321440 is an apocalyptic number.

28966321440 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 28966321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60452904960).

28966321440 is an abundant number, since it is smaller than the sum of its proper divisors (91939488480).

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

28966321440 is a wasteful number, since it uses less digits than its factorization.

28966321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41701 (or 41687 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28966321440 in words is "twenty-eight billion, nine hundred sixty-six million, three hundred twenty-one thousand, four hundred forty".