147322728 has 192 divisors, whose sum is σ = 485222400. Its totient is φ = 39473280.

The previous prime is 147322723. The next prime is 147322729. The reversal of 147322728 is 827223741.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 147322692 and 147322701.

It is not an unprimeable number, because it can be changed into a prime (147322723) 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, 822943 + ... + 823121.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^147322728 is an apocalyptic number.

147322728 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 147322728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

147322728 is an abundant number, since it is smaller than the sum of its proper divisors (337899672).

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

147322728 is a wasteful number, since it uses less digits than its factorization.

147322728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 147322728 is about 12137.6574346123. The cubic root of 147322728 is about 528.1491486361.

The spelling of 147322728 in words is "one hundred forty-seven million, three hundred twenty-two thousand, seven hundred twenty-eight".