194887728 has 240 divisors, whose sum is σ = 682178560. Its totient is φ = 52171776.

The previous prime is 194887727. The next prime is 194887729. The reversal of 194887728 is 827788491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (194887727) and next prime (194887729).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1806336) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (194887727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873825 + ... + 874047.

Almost surely, 2^194887728 is an apocalyptic number.

194887728 is a gapful number since it is divisible by the number (18) 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 194887728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341089280).

194887728 is an abundant number, since it is smaller than the sum of its proper divisors (487290832).

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

194887728 is a wasteful number, since it uses less digits than its factorization.

194887728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 194887728 is about 13960.2194825153. The cubic root of 194887728 is about 579.7776872920. Note that the first 3 decimals are identical.

It can be divided in two parts, 1948 and 87728, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 194887728 in words is "one hundred ninety-four million, eight hundred eighty-seven thousand, seven hundred twenty-eight".