185228628552 has 540 divisors, whose sum is σ = 601960193835. Its totient is φ = 53171838720.

The previous prime is 185228628527. The next prime is 185228628583. The reversal of 185228628552 is 255826822581.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

185228628552 is a `hidden beast` number, since 1 + 8 + 5 + 2 + 2 + 8 + 628 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 137532689316 + 47695939236 = 370854^2 + 218394^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=304326.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3494879758 + ... + 3494879810.

Almost surely, 2^185228628552 is an apocalyptic number.

185228628552 is a gapful number since it is divisible by the number (12) 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 185228628552

185228628552 is an abundant number, since it is smaller than the sum of its proper divisors (416731565283).

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

185228628552 is a wasteful number, since it uses less digits than its factorization.

185228628552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 98 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 54.

The spelling of 185228628552 in words is "one hundred eighty-five billion, two hundred twenty-eight million, six hundred twenty-eight thousand, five hundred fifty-two".