387828 has 84 divisors (see below), whose sum is σ = 1224160. Its totient is φ = 104976.

The previous prime is 387799. The next prime is 387839. The reversal of 387828 is 828783.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21504) is a multiple of the sum of its prime factors (48).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 387792 and 387801.

It is a congruent number.

It is an unprimeable number.

387828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20403 + ... + 20421.

2³⁸⁷⁸²⁸ is an apocalyptic number.

387828 is a gapful number since it is divisible by the number (38) 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 387828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612080).

387828 is an abundant number, since it is smaller than the sum of its proper divisors (836332).

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

387828 is a wasteful number, since it uses less digits than its factorization.

387828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 31 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 387828 is about 622.7583801122. The cubic root of 387828 is about 72.9255511714.

The spelling of 387828 in words is "three hundred eighty-seven thousand, eight hundred twenty-eight".