28958092200 has 72 divisors (see below), whose sum is σ = 97250932350. Its totient is φ = 7722157440.

The previous prime is 28958092199. The next prime is 28958092211. The reversal of 28958092200 is 229085982.

28958092200 is a `hidden beast` number, since 289 + 5 + 80 + 92 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18679782276 + 10278309924 = 136674^2 + 101382^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×28958092200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8042115 + ... + 8045714.

Almost surely, 2^28958092200 is an apocalyptic number.

28958092200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28958092200 is an abundant number, since it is smaller than the sum of its proper divisors (68292840150).

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

28958092200 is a wasteful number, since it uses less digits than its factorization.

28958092200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16087851 (or 16087839 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 28958092200 in words is "twenty-eight billion, nine hundred fifty-eight million, ninety-two thousand, two hundred".