147026628 has 72 divisors (see below), whose sum is σ = 427085568. Its totient is φ = 41776128.

The previous prime is 147026519. The next prime is 147026639. The reversal of 147026628 is 826620741.

147026628 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 26 + 628 = 666.

147026628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 147026592 and 147026601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47125 + ... + 50147.

It is an arithmetic number, because the mean of its divisors is an integer number (5931744).

Almost surely, 2^147026628 is an apocalyptic number.

147026628 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 147026628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213542784).

147026628 is an abundant number, since it is smaller than the sum of its proper divisors (280058940).

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

147026628 is a wasteful number, since it uses less digits than its factorization.

147026628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 147026628 is about 12125.4537234695. The cubic root of 147026628 is about 527.7950737116.

The spelling of 147026628 in words is "one hundred forty-seven million, twenty-six thousand, six hundred twenty-eight".