28435553280 has 704 divisors, whose sum is σ = 107708227200. Its totient is φ = 7101480960.

The previous prime is 28435553257. The next prime is 28435553287. The reversal of 28435553280 is 8235553482.

28435553280 is a `hidden beast` number, since 2 + 8 + 4 + 35 + 5 + 532 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28435553287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164367274 + ... + 164367446.

Almost surely, 2^28435553280 is an apocalyptic number.

28435553280 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 28435553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53854113600).

28435553280 is an abundant number, since it is smaller than the sum of its proper divisors (79272673920).

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

28435553280 is a wasteful number, since it uses less digits than its factorization.

28435553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 28435553280 in words is "twenty-eight billion, four hundred thirty-five million, five hundred fifty-three thousand, two hundred eighty".