28533193920 has 1008 divisors, whose sum is σ = 128936435040. Its totient is φ = 5918330880.

The previous prime is 28533193903. The next prime is 28533193939. The reversal of 28533193920 is 2939133582.

28533193920 is a `hidden beast` number, since 2 + 8 + 533 + 1 + 93 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226282 + ... + 51226838.

It is an arithmetic number, because the mean of its divisors is an integer number (127913130).

Almost surely, 2^28533193920 is an apocalyptic number.

28533193920 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 28533193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64468217520).

28533193920 is an abundant number, since it is smaller than the sum of its proper divisors (100403241120).

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

28533193920 is a wasteful number, since it uses less digits than its factorization.

28533193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 28533193920 in words is "twenty-eight billion, five hundred thirty-three million, one hundred ninety-three thousand, nine hundred twenty".