147467628 has 240 divisors, whose sum is σ = 503483904. Its totient is φ = 36495360.

The previous prime is 147467627. The next prime is 147467629. The reversal of 147467628 is 826764741.

147467628 is a `hidden beast` number, since 14 + 7 + 4 + 6 + 7 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (147467627) and next prime (147467629).

It is not an unprimeable number, because it can be changed into a prime (147467627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 573676 + ... + 573932.

Almost surely, 2^147467628 is an apocalyptic number.

147467628 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 147467628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251741952).

147467628 is an abundant number, since it is smaller than the sum of its proper divisors (356016276).

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

147467628 is a wasteful number, since it uses less digits than its factorization.

147467628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 147467628 is about 12143.6249942099. The cubic root of 147467628 is about 528.3222464699.

The spelling of 147467628 in words is "one hundred forty-seven million, four hundred sixty-seven thousand, six hundred twenty-eight".