187828740 has 192 divisors, whose sum is σ = 645765120. Its totient is φ = 44945280.

The previous prime is 187828709. The next prime is 187828747. The reversal of 187828740 is 47828781.

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

It is not an unprimeable number, because it can be changed into a prime (187828747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611667 + ... + 611973.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2^187828740 is an apocalyptic number.

187828740 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 187828740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322882560).

187828740 is an abundant number, since it is smaller than the sum of its proper divisors (457936380).

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

187828740 is a wasteful number, since it uses less digits than its factorization.

187828740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 187828740 is about 13705.0625682629. The cubic root of 187828740 is about 572.6914267402.

The spelling of 187828740 in words is "one hundred eighty-seven million, eight hundred twenty-eight thousand, seven hundred forty".