200928 has 96 divisors (see below), whose sum is σ = 677376. Its totient is φ = 50688.

The previous prime is 200927. The next prime is 200929. The reversal of 200928 is 829002.

200928 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (200927) and next prime (200929).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200928² = 80744122368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8725 + ... + 8747.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2²⁰⁰⁹²⁸ is an apocalyptic number.

200928 is a gapful number since it is divisible by the number (28) 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 200928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

200928 is an abundant number, since it is smaller than the sum of its proper divisors (476448).

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

200928 is a wasteful number, since it uses less digits than its factorization.

200928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 200928 is about 448.2499302844. The cubic root of 200928 is about 58.5706648437.

It can be divided in two parts, 20092 and 8, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 200928 in words is "two hundred thousand, nine hundred twenty-eight".