1828840320 has 192 divisors, whose sum is σ = 6339340800. Its totient is φ = 485830656.

The previous prime is 1828840291. The next prime is 1828840333. The reversal of 1828840320 is 230488281.

It is a happy number.

1828840320 is a `hidden beast` number, since 18 + 288 + 40 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205666 + ... + 2206494.

It is an arithmetic number, because the mean of its divisors is an integer number (33017400).

Almost surely, 2^1828840320 is an apocalyptic number.

1828840320 is a gapful number since it is divisible by the number (10) 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 1828840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169670400).

1828840320 is an abundant number, since it is smaller than the sum of its proper divisors (4510500480).

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

1828840320 is a wasteful number, since it uses less digits than its factorization.

1828840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1828840320 is about 42764.9426516627. The cubic root of 1828840320 is about 1222.9027716733.

The spelling of 1828840320 in words is "one billion, eight hundred twenty-eight million, eight hundred forty thousand, three hundred twenty".