28995278400 has 945 divisors, whose sum is σ = 119936960913. Its totient is φ = 6865689600.

The previous prime is 28995278341. The next prime is 28995278437. The reversal of 28995278400 is 487259982.

The square root of 28995278400 is 170280.

It is a perfect power (a square), and thus also a powerful number.

28995278400 is a `hidden beast` number, since 2 + 89 + 95 + 2 + 78 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10438300224 + 18556978176 = 102168^2 + 136224^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 674308779 + ... + 674308821.

Almost surely, 2^28995278400 is an apocalyptic number.

28995278400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28995278400 is the 170280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28995278400

28995278400 is an abundant number, since it is smaller than the sum of its proper divisors (90941682513).

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

28995278400 is a wasteful number, since it uses less digits than its factorization.

28995278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28995278400 in words is "twenty-eight billion, nine hundred ninety-five million, two hundred seventy-eight thousand, four hundred".