28373647478400 has 1152 divisors, whose sum is σ = 121052737128960. Its totient is φ = 6192517939200.

The previous prime is 28373647478387. The next prime is 28373647478411. The reversal of 28373647478400 is 487474637382.

28373647478400 is a `hidden beast` number, since 2 + 8 + 37 + 3 + 64 + 74 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 388446682 + ... + 388519718.

It is an arithmetic number, because the mean of its divisors is an integer number (105080500980).

Almost surely, 2^{28373647478400} is an apocalyptic number.

28373647478400 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 28373647478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60526368564480).

28373647478400 is an abundant number, since it is smaller than the sum of its proper divisors (92679089650560).

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

28373647478400 is a wasteful number, since it uses less digits than its factorization.

28373647478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73162 (or 73142 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 28373647478400 in words is "twenty-eight trillion, three hundred seventy-three billion, six hundred forty-seven million, four hundred seventy-eight thousand, four hundred".