28533120 has 256 divisors, whose sum is σ = 113978880. Its totient is φ = 5898240.

The previous prime is 28533103. The next prime is 28533121. The reversal of 28533120 is 2133582.

28533120 = T₁₇₅ + T₁₇₆ + ... + T₅₆₀.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28533121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147744 + ... + 147936.

It is an arithmetic number, because the mean of its divisors is an integer number (445230).

Almost surely, 2^28533120 is an apocalyptic number.

28533120 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 28533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56989440).

28533120 is an abundant number, since it is smaller than the sum of its proper divisors (85445760).

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

28533120 is a wasteful number, since it uses less digits than its factorization.

28533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 28533120 is about 5341.6401975423. The cubic root of 28533120 is about 305.5740153157.

The spelling of 28533120 in words is "twenty-eight million, five hundred thirty-three thousand, one hundred twenty".