28629744 has 160 divisors (see below), whose sum is σ = 89827584. Its totient is φ = 7741440.

The previous prime is 28629739. The next prime is 28629773. The reversal of 28629744 is 44792682.

It is a junction number, because it is equal to n+sod(n) for n = 28629696 and 28629705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295104 + ... + 295200.

Almost surely, 2^28629744 is an apocalyptic number.

28629744 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 28629744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44913792).

28629744 is an abundant number, since it is smaller than the sum of its proper divisors (61197840).

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

28629744 is a wasteful number, since it uses less digits than its factorization.

28629744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 28629744 is about 5350.6769665155. The cubic root of 28629744 is about 305.9185566500.

The spelling of 28629744 in words is "twenty-eight million, six hundred twenty-nine thousand, seven hundred forty-four".