188072820 has 192 divisors, whose sum is σ = 640496640. Its totient is φ = 45536256.

The previous prime is 188072789. The next prime is 188072827. The reversal of 188072820 is 28270881.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188072827) 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, 512277 + ... + 512643.

It is an arithmetic number, because the mean of its divisors is an integer number (3335920).

Almost surely, 2^188072820 is an apocalyptic number.

188072820 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 188072820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320248320).

188072820 is an abundant number, since it is smaller than the sum of its proper divisors (452423820).

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

188072820 is a wasteful number, since it uses less digits than its factorization.

188072820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 188072820 is about 13713.9644158792. The cubic root of 188072820 is about 572.9393866971.

The spelling of 188072820 in words is "one hundred eighty-eight million, seventy-two thousand, eight hundred twenty".