28149919200 has 576 divisors, whose sum is σ = 116109443520. Its totient is φ = 6520504320.

The previous prime is 28149919181. The next prime is 28149919211. The reversal of 28149919200 is 291994182.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4770652 + ... + 4776548.

It is an arithmetic number, because the mean of its divisors is an integer number (201578895).

Almost surely, 2^28149919200 is an apocalyptic number.

28149919200 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 28149919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58054721760).

28149919200 is an abundant number, since it is smaller than the sum of its proper divisors (87959524320).

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

28149919200 is a wasteful number, since it uses less digits than its factorization.

28149919200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 28149919200 in words is "twenty-eight billion, one hundred forty-nine million, nine hundred nineteen thousand, two hundred".