97128437400 has 288 divisors, whose sum is σ = 338442624000. Its totient is φ = 24936595200.

The previous prime is 97128437387. The next prime is 97128437407. The reversal of 97128437400 is 473482179.

97128437400 is a `hidden beast` number, since 97 + 128 + 4 + 37 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97128437407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11099827 + ... + 11108573.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148000).

Almost surely, 2^97128437400 is an apocalyptic number.

97128437400 is a gapful number since it is divisible by the number (90) 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 97128437400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169221312000).

97128437400 is an abundant number, since it is smaller than the sum of its proper divisors (241314186600).

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

97128437400 is a wasteful number, since it uses less digits than its factorization.

97128437400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 97128437400 in words is "ninety-seven billion, one hundred twenty-eight million, four hundred thirty-seven thousand, four hundred".