28769887440 has 360 divisors, whose sum is σ = 119007237960. Its totient is φ = 6189023232.

The previous prime is 28769887417. The next prime is 28769887477. The reversal of 28769887440 is 4478896782.

28769887440 is a `hidden beast` number, since 28 + 7 + 6 + 98 + 87 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9396588096 + 19373299344 = 96936^2 + 139188^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 575776 + ... + 623744.

It is an arithmetic number, because the mean of its divisors is an integer number (330575661).

Almost surely, 2^28769887440 is an apocalyptic number.

28769887440 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 28769887440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59503618980).

28769887440 is an abundant number, since it is smaller than the sum of its proper divisors (90237350520).

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

28769887440 is a wasteful number, since it uses less digits than its factorization.

28769887440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48019 (or 48003 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 28769887440 in words is "twenty-eight billion, seven hundred sixty-nine million, eight hundred eighty-seven thousand, four hundred forty".