29428905600 has 144 divisors (see below), whose sum is σ = 105009182070. Its totient is φ = 7847700480.

The previous prime is 29428905587. The next prime is 29428905617. The reversal of 29428905600 is 650982492.

29428905600 is a `hidden beast` number, since 2 + 9 + 4 + 2 + 89 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27766223424 + 1662682176 = 166632^2 + 40776^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×29428905600² (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, 482119 + ... + 539718.

Almost surely, 2^29428905600 is an apocalyptic number.

29428905600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29428905600 is an abundant number, since it is smaller than the sum of its proper divisors (75580276470).

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

29428905600 is a wasteful number, since it uses less digits than its factorization.

29428905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021867 (or 1021847 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 29428 and 905600, that added together give a triangular number (935028 = T₁₃₆₇).

The spelling of 29428905600 in words is "twenty-nine billion, four hundred twenty-eight million, nine hundred five thousand, six hundred".