29628144 has 360 divisors, whose sum is σ = 115773840. Its totient is φ = 6967296.

The previous prime is 29628143. The next prime is 29628149. The reversal of 29628144 is 44182692.

29628144 is a `hidden beast` number, since 29 + 628 + 1 + 4 + 4 = 666.

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 = 29628099 and 29628108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29628143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1559367 + ... + 1559385.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 2^29628144 is an apocalyptic number.

29628144 is a gapful number since it is divisible by the number (24) 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 29628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

29628144 is an abundant number, since it is smaller than the sum of its proper divisors (86145696).

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

29628144 is a wasteful number, since it uses less digits than its factorization.

29628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 29628144 is about 5443.1740740123. The cubic root of 29628144 is about 309.4340837263.

The spelling of 29628144 in words is "twenty-nine million, six hundred twenty-eight thousand, one hundred forty-four".