28972944 has 320 divisors, whose sum is σ = 113326080. Its totient is φ = 6842880.

The previous prime is 28972919. The next prime is 28972969. The reversal of 28972944 is 44927982.

28972944 = 87³ + 88³ + ... + 114³.

It is an interprime number because it is at equal distance from previous prime (28972919) and next prime (28972969).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28972944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432399 + ... + 432465.

It is an arithmetic number, because the mean of its divisors is an integer number (354144).

Almost surely, 2^28972944 is an apocalyptic number.

28972944 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 28972944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663040).

28972944 is an abundant number, since it is smaller than the sum of its proper divisors (84353136).

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

28972944 is a wasteful number, since it uses less digits than its factorization.

28972944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 28972944 is about 5382.6521344036. The cubic root of 28972944 is about 307.1361073177.

The spelling of 28972944 in words is "twenty-eight million, nine hundred seventy-two thousand, nine hundred forty-four".