28701953280 has 1728 divisors, whose sum is σ = 141422561280. Its totient is φ = 5175705600.

The previous prime is 28701953257. The next prime is 28701953309. The reversal of 28701953280 is 8235910782.

It is a happy number.

28701953280 is a `hidden beast` number, since 28 + 7 + 0 + 19 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219098815 + ... + 219098945.

It is an arithmetic number, because the mean of its divisors is an integer number (81841760).

Almost surely, 2^28701953280 is an apocalyptic number.

28701953280 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 28701953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70711280640).

28701953280 is an abundant number, since it is smaller than the sum of its proper divisors (112720608000).

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

28701953280 is a wasteful number, since it uses less digits than its factorization.

28701953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 28701953280 in words is "twenty-eight billion, seven hundred one million, nine hundred fifty-three thousand, two hundred eighty".