28974006600 has 768 divisors, whose sum is σ = 116066856960. Its totient is φ = 5854464000.

The previous prime is 28974006587. The next prime is 28974006617. The reversal of 28974006600 is 660047982.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396904164 + ... + 396904236.

It is an arithmetic number, because the mean of its divisors is an integer number (151128720).

Almost surely, 2^28974006600 is an apocalyptic number.

28974006600 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 28974006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58033428480).

28974006600 is an abundant number, since it is smaller than the sum of its proper divisors (87092850360).

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

28974006600 is a wasteful number, since it uses less digits than its factorization.

28974006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 28974006600 in words is "twenty-eight billion, nine hundred seventy-four million, six thousand, six hundred".