28062950400 has 297 divisors, whose sum is σ = 100767368091. Its totient is φ = 7462010880.

The previous prime is 28062950389. The next prime is 28062950407. The reversal of 28062950400 is 405926082.

It is a happy number.

The square root of 28062950400 is 167520.

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

28062950400 is a `hidden beast` number, since 28 + 0 + 629 + 5 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288728064 + 27774222336 = 16992^2 + 166656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28062950407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80409426 + ... + 80409774.

Almost surely, 2^28062950400 is an apocalyptic number.

28062950400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28062950400 is the 167520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28062950400

28062950400 is an abundant number, since it is smaller than the sum of its proper divisors (72704417691).

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

28062950400 is an equidigital number, since it uses as much as digits as its factorization.

28062950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 28062950400 by its sum of digits (36), we get a square (1010266214400 = 1005120²).

28062950400 divided by its sum of digits (36) gives a square (779526400 = 27920²).

The spelling of 28062950400 in words is "twenty-eight billion, sixty-two million, nine hundred fifty thousand, four hundred".