28629480 has 192 divisors, whose sum is σ = 100336320. Its totient is φ = 6476800.

The previous prime is 28629451. The next prime is 28629481. The reversal of 28629480 is 8492682.

It is not an unprimeable number, because it can be changed into a prime (28629481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698260 + ... + 698300.

It is an arithmetic number, because the mean of its divisors is an integer number (522585).

Almost surely, 2^28629480 is an apocalyptic number.

28629480 is a gapful number since it is divisible by the number (20) 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 28629480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168160).

28629480 is an abundant number, since it is smaller than the sum of its proper divisors (71706840).

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

28629480 is a wasteful number, since it uses less digits than its factorization.

28629480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 28629480 is about 5350.6522966831. The cubic root of 28629480 is about 305.9176163371.

The spelling of 28629480 in words is "twenty-eight million, six hundred twenty-nine thousand, four hundred eighty".