39729228 has 192 divisors, whose sum is σ = 127303680. Its totient is φ = 9331200.

The previous prime is 39729227. The next prime is 39729233. The reversal of 39729228 is 82292793.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 39729228.

It is not an unprimeable number, because it can be changed into a prime (39729223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544200 + ... + 544272.

It is an arithmetic number, because the mean of its divisors is an integer number (663040).

Almost surely, 2^39729228 is an apocalyptic number.

39729228 is a gapful number since it is divisible by the number (38) 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 39729228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63651840).

39729228 is an abundant number, since it is smaller than the sum of its proper divisors (87574452).

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

39729228 is a wasteful number, since it uses less digits than its factorization.

39729228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 39729228 is about 6303.1125644399. The cubic root of 39729228 is about 341.2217521466.

The spelling of 39729228 in words is "thirty-nine million, seven hundred twenty-nine thousand, two hundred twenty-eight".