74162628 has 84 divisors (see below), whose sum is σ = 201527340. Its totient is φ = 23841216.

The previous prime is 74162609. The next prime is 74162629. The reversal of 74162628 is 82626147.

74162628 is a `hidden beast` number, since 7 + 4 + 1 + 626 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51581124 + 22581504 = 7182^2 + 4752^2 .

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 = 74162592 and 74162601.

It is not an unprimeable number, because it can be changed into a prime (74162629) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 84126 + ... + 85002.

It is an arithmetic number, because the mean of its divisors is an integer number (2399135).

Almost surely, 2^74162628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74162628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100763670).

74162628 is an abundant number, since it is smaller than the sum of its proper divisors (127364712).

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

74162628 is a wasteful number, since it uses less digits than its factorization.

74162628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 911 counting only the distinct ones).

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

The square root of 74162628 is about 8611.7726398228. The cubic root of 74162628 is about 420.1409730852.

The spelling of 74162628 in words is "seventy-four million, one hundred sixty-two thousand, six hundred twenty-eight".